22212113032100 has 72 divisors (see below), whose sum is σ = 48382867126440. Its totient is φ = 8851194234880.

The previous prime is 22212113032069. The next prime is 22212113032117. The reversal of 22212113032100 is 123031121222.

It can be written as a sum of positive squares in 12 ways, for example, as 18138263281216 + 4073849750884 = 4258904^2 + 2018378^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 674447234 + ... + 674480166.

It is an arithmetic number, because the mean of its divisors is an integer number (671984265645).

Almost surely, 2^{22212113032100} is an apocalyptic number.

22212113032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212113032100 is an abundant number, since it is smaller than the sum of its proper divisors (26170754094340).

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

22212113032100 is a wasteful number, since it uses less digits than its factorization.

22212113032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58289 (or 58282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22212113032100 its reverse (123031121222), we get a palindrome (22335144153322).

The spelling of 22212113032100 in words is "twenty-two trillion, two hundred twelve billion, one hundred thirteen million, thirty-two thousand, one hundred".