21022112112100 has 36 divisors (see below), whose sum is σ = 49765072675248. Its totient is φ = 7644404404000.

The previous prime is 21022112112059. The next prime is 21022112112101. The reversal of 21022112112100 is 121121122012.

It is not an unprimeable number, because it can be changed into a prime (21022112112101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9555504406 + ... + 9555506605.

It is an arithmetic number, because the mean of its divisors is an integer number (1382363129868).

Almost surely, 2^{21022112112100} is an apocalyptic number.

21022112112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022112112100 is an abundant number, since it is smaller than the sum of its proper divisors (28742960563148).

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

21022112112100 is a wasteful number, since it uses less digits than its factorization.

21022112112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19111011036 (or 19111011029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21022112112100 its reverse (121121122012), we get a palindrome (21143233234112).

It can be divided in two parts, 210221 and 12112100, that added together give a palindrome (12322321).

The spelling of 21022112112100 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred".