22115492972100 has 1728 divisors, whose sum is σ = 88651285954560. Its totient is φ = 4669125120000.

The previous prime is 22115492972081. The next prime is 22115492972129. The reversal of 22115492972100 is 127929451122.

22115492972100 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 549 + 2 + 97 + 2 + 10 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8279853765 + ... + 8279856435.

It is an arithmetic number, because the mean of its divisors is an integer number (51302827520).

Almost surely, 2^{22115492972100} is an apocalyptic number.

22115492972100 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 22115492972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44325642977280).

22115492972100 is an abundant number, since it is smaller than the sum of its proper divisors (66535792982460).

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

22115492972100 is a wasteful number, since it uses less digits than its factorization.

22115492972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 22115492972100 in words is "twenty-two trillion, one hundred fifteen billion, four hundred ninety-two million, nine hundred seventy-two thousand, one hundred".