22131020102100 has 576 divisors, whose sum is σ = 80767655539200. Its totient is φ = 4553463398400.

The previous prime is 22131020102083. The next prime is 22131020102123. The reversal of 22131020102100 is 120102013122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22131020102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4760380576 + ... + 4760385224.

It is an arithmetic number, because the mean of its divisors is an integer number (140221624200).

Almost surely, 2^{22131020102100} is an apocalyptic number.

22131020102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131020102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40383827769600).

22131020102100 is an abundant number, since it is smaller than the sum of its proper divisors (58636635437100).

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

22131020102100 is a wasteful number, since it uses less digits than its factorization.

22131020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22131020102100 its reverse (120102013122), we get a palindrome (22251122115222).

The spelling of 22131020102100 in words is "twenty-two trillion, one hundred thirty-one billion, twenty million, one hundred two thousand, one hundred".