11. As shown in the figure, many identical matchsticks form a rectangle, where the length of the rectangle is made up of 60 matchsticks, and the width is made up of 10 matchsticks. Finally, these matchsticks are distributed to more than 100 children, with each child receiving the same number of matchsticks, and no matchsticks left over. Then, there are $\qquad$ children in total.
【Analysis】Each length has 60 sticks, for a total of $10+1=11$ lengths; each width has 10 sticks, for a total of $60+1=61$ widths. There are a total of matches $60 \times 11+10 \times 61=1270$ (sticks); $1270=2 \times 5 \times 127$, so there are 127 children.