22121001122100 has 72 divisors (see below), whose sum is σ = 64196794038048. Its totient is φ = 5881112054400.

The previous prime is 22121001122093. The next prime is 22121001122113. The reversal of 22121001122100 is 122110012122.

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 22121001122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111285399 + ... + 111483998.

Almost surely, 2^{22121001122100} is an apocalyptic number.

22121001122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121001122100 is an abundant number, since it is smaller than the sum of its proper divisors (42075792915948).

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

22121001122100 is a wasteful number, since it uses less digits than its factorization.

22121001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222769745 (or 222769738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22121001122100 its reverse (122110012122), we get a palindrome (22243111134222).

The spelling of 22121001122100 in words is "twenty-two trillion, one hundred twenty-one billion, one million, one hundred twenty-two thousand, one hundred".