101100111021 has 72 divisors (see below), whose sum is σ = 185606154240. Its totient is φ = 51886044288.

The previous prime is 101100111017. The next prime is 101100111031. The reversal of 101100111021 is 120111001101.

It is not a de Polignac number, because 101100111021 - 2² = 101100111017 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101100110994 and 101100111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100111011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265620 + ... + 522258.

Almost surely, 2^101100111021 is an apocalyptic number.

It is an amenable number.

101100111021 is a deficient number, since it is larger than the sum of its proper divisors (84506043219).

101100111021 is a wasteful number, since it uses less digits than its factorization.

101100111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256715 (or 256699 counting only the distinct ones).

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

Adding to 101100111021 its reverse (120111001101), we get a palindrome (221211112122).

The spelling of 101100111021 in words is "one hundred one billion, one hundred million, one hundred eleven thousand, twenty-one".