It is a strong prime.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-101111110100009 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 101111110100009.
Almost surely, 2101111110100009 is an apocalyptic number.
It is an amenable number.
101111110100009 is an equidigital number, since it uses as much as digits as its factorization.
101111110100009 is an evil number, because the sum of its binary digits is even.
The spelling of 101111110100009 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, nine".