--save_on_each_node doesn't save pytorch_model.bin when deepspeed zero3 is used
### System Info

- `transformers` version: 4.20.1
- Platform: Linux-5.4.0-1083-azure-x86_64-with-glibc2.10
- Python version: 3.8.12
- Huggingface_hub version: 0.8.1
- PyTorch version (GPU?): 1.10.0a0+0aef44c (False)
- Tensorflow version (GPU?): not installed (NA)
- Flax version (CPU?/GPU?/TPU?): not installed (NA)
- Jax version: not installed
- JaxLib version: not installed
- Using GPU in script?: <fill in>
- Using distributed or parallel set-up in script?: <fill in>

I am finetuning GPT-J with DeepSpeed zero3 and 2 GPU nodes, each with 8 GPUs. I turned on --save_on_each_node but I found pytorch_model.bin is only saved by process world_rank=0 (i.e. process 0), not world_rank=8 (i.e. process 8). Below are the relevant part of logs from process 0 and process 8.

Process 0:
```
[INFO|trainer.py:2503] 2022-07-01 10:56:15,212 >> Saving model checkpoint to /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10
[INFO|configuration_utils.py:446] 2022-07-01 10:56:15,213 >> Configuration saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/config.json
[INFO|modeling_utils.py:1660] 2022-07-01 10:56:15,353 >> Model weights saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/pytorch_model.bin
[INFO|tokenization_utils_base.py:2123] 2022-07-01 10:56:15,354 >> tokenizer config file saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/tokenizer_config.json
[INFO|tokenization_utils_base.py:2130] 2022-07-01 10:56:15,354 >> Special tokens file saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/special_tokens_map.json
[2022-07-01 10:56:20,868] [INFO] [engine.py:3229:save_16bit_model] Saving model weights to /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/pytorch_model.bin
[2022-07-01 10:56:43,320] [INFO] [logging.py:69:log_dist] [Rank 0] Saving model checkpoint: /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/global_step10/zero_pp_rank_0_mp_rank_00_model_states.pt
[2022-07-01 10:56:52,826] [INFO] [engine.py:3115:_save_zero_checkpoint] zero checkpoint saved /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/global_step10/zero_pp_rank_0_mp_rank_00_optim_states.pt
[INFO|trainer.py:1761] 2022-07-01 10:56:52,858 >> 
```

Process 8:
```
[INFO|trainer.py:2503] 2022-07-01 10:56:15,211 >> Saving model checkpoint to /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10
[INFO|configuration_utils.py:446] 2022-07-01 10:56:15,213 >> Configuration saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/config.json
[INFO|modeling_utils.py:1660] 2022-07-01 10:56:15,347 >> Model weights saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/pytorch_model.bin
[INFO|tokenization_utils_base.py:2123] 2022-07-01 10:56:15,348 >> tokenizer config file saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/tokenizer_config.json
[INFO|tokenization_utils_base.py:2130] 2022-07-01 10:56:15,348 >> Special tokens file saved in /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/special_tokens_map.json
[2022-07-01 10:56:52,831] [INFO] [engine.py:3115:_save_zero_checkpoint] zero checkpoint saved /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/global_step10/zero_pp_rank_8_mp_rank_00_optim_states.pt
[INFO|trainer.py:1761] 2022-07-01 10:56:52,858 >> 
```
The difference is that process 8 is missing these lines:
```
[2022-07-01 10:56:20,868] [INFO] [engine.py:3229:save_16bit_model] Saving model weights to /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/pytorch_model.bin
[2022-07-01 10:56:43,320] [INFO] [logging.py:69:log_dist] [Rank 0] Saving model checkpoint: /tmp/azureml/cr/j/b531489bec744033bf0a29a63689aa44/cap/data-capability/wd/output_dir/checkpoint-10/global_step10/zero_pp_rank_0_mp_rank_00_model_states.pt
```

My guess is that engine.py->save_16bit_model did not run on process 8. Looking at the [source code from DeepSpeed](https://github.com/microsoft/DeepSpeed/blob/9b70ce56e7af89d5226f9b06ebe1137407f371dc/deepspeed/runtime/engine.py#L3165), I suspect that these lines were not run because dist.get_rank() is not equal to 0 on process 8.
```
        if dist.get_rank() == 0:
            os.makedirs(save_dir, exist_ok=True)
            logger.info(f"Saving model weights to {path}")
            torch.save(state_dict, path)
```


### Who can help?

@stas00
@jeffra 

### Information

- [ ] The official example scripts
- [ ] My own modified scripts

### Tasks

- [ ] An officially supported task in the `examples` folder (such as GLUE/SQuAD, ...)
- [ ] My own task or dataset (give details below)

### Reproduction

Not sure what to put here as the issue wouldn't happen unless more than one GPU node is used.

### Expected behavior

The main process on each node, or process 0 and process 8 in my examples, both save model file pytorch_model.bin
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