100100021022121 has 16 divisors (see below), whose sum is σ = 111586981224960. Its totient is φ = 89236954056960.

The previous prime is 100100021022091. The next prime is 100100021022203. The reversal of 100100021022121 is 121220120001001.

It is a cyclic number.

It is not a de Polignac number, because 100100021022121 - 2²⁹ = 100099484151209 is a prime.

It is a super-2 number, since 2×100100021022121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100100025022121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26555586 + ... + 30089851.

It is an arithmetic number, because the mean of its divisors is an integer number (6974186326560).

Almost surely, 2^{100100021022121} is an apocalyptic number.

It is an amenable number.

100100021022121 is a deficient number, since it is larger than the sum of its proper divisors (11486960202839).

100100021022121 is a wasteful number, since it uses less digits than its factorization.

100100021022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56650944.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100100021022121 its reverse (121220120001001), we get a palindrome (221320141023122).

The spelling of 100100021022121 in words is "one hundred trillion, one hundred billion, twenty-one million, twenty-two thousand, one hundred twenty-one".