100111056110001 has 20 divisors (see below), whose sum is σ = 149550589538724. Its totient is φ = 66739822732800.

The previous prime is 100111056109997. The next prime is 100111056110053. The reversal of 100111056110001 is 100011650111001.

It is a happy number.

100111056110001 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 1 + 0 + 561 + 100 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42475264463025 + 57635791646976 = 6517305^2 + 7591824^2 .

It is not a de Polignac number, because 100111056110001 - 2² = 100111056109997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111056110071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1959960 + ... + 14285081.

Almost surely, 2^{100111056110001} is an apocalyptic number.

It is an amenable number.

100111056110001 is a deficient number, since it is larger than the sum of its proper divisors (49439533428723).

100111056110001 is an equidigital number, since it uses as much as digits as its factorization.

100111056110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16321134 (or 16321125 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 100111056110001 in words is "one hundred trillion, one hundred eleven billion, fifty-six million, one hundred ten thousand, one".