Is $\frac{1010103010101}9$ prime or composite? $1010103010101$ obviously divisible by $9$. 

Is $\frac{1010103010101}9$ prime or composite? 

The answer would be obtained without using WolframAlpha

The polynomial $ x^6 + x^5 + x^4 + 3x^3 + x^2 + x + 1 $ can be factored through the following manipulations:
$$x^3 (x^3 + x^2 + 1) + x^4 + 2x^3 + x^2 + x + 1 = (x^3 + 1)(x^3 + x^2 + 1) + x^4 + x^3 + x = (x^3 + x + 1)(x^3 + x^2 + 1) $$ 
Now, plug in $ x = 10^2 $ to get a factorization of your number, which easily confirms that your number is composite.
