It is a happy number.
It is a weak prime.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-101101100000129 is a prime.
It is a Sophie Germain prime.
It is a Curzon number.
Almost surely, 2101101100000129 is an apocalyptic number.
It is an amenable number.
101101100000129 is an equidigital number, since it uses as much as digits as its factorization.
101101100000129 is an odious number, because the sum of its binary digits is odd.
The spelling of 101101100000129 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-nine", and thus it is an aban number.