100111100000121 has 32 divisors (see below), whose sum is σ = 169513637241600. Its totient is φ = 57201833145600.

The previous prime is 100111100000101. The next prime is 100111100000123. The reversal of 100111100000121 is 121000001111001.

It is not a de Polignac number, because 100111100000121 - 2²² = 100111095805817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100111100000123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18473730 + ... + 23270171.

It is an arithmetic number, because the mean of its divisors is an integer number (5297301163800).

Almost surely, 2^{100111100000121} is an apocalyptic number.

It is an amenable number.

100111100000121 is a deficient number, since it is larger than the sum of its proper divisors (69402537241479).

100111100000121 is a wasteful number, since it uses less digits than its factorization.

100111100000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41756606 (or 41756600 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111100000121 its reverse (121000001111001), we get a palindrome (221111101111122).

The spelling of 100111100000121 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred twenty-one", and thus it is an aban number.