210100122211100 has 72 divisors (see below), whose sum is σ = 526621012254288. Its totient is φ = 71905924172800.

The previous prime is 210100122211087. The next prime is 210100122211139. The reversal of 210100122211100 is 1112221001012.

It is a super-2 number, since 2×210100122211100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617631627 + ... + 5617669026.

It is an arithmetic number, because the mean of its divisors is an integer number (7314180725754).

Almost surely, 2^{210100122211100} is an apocalyptic number.

210100122211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100122211100 is an abundant number, since it is smaller than the sum of its proper divisors (316520890043188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210100122211100 is a wasteful number, since it uses less digits than its factorization.

210100122211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235300695 (or 11235300688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210100122211100 its reverse (1112221001012), we get a palindrome (211212343212112).

The spelling of 210100122211100 in words is "two hundred ten trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".