22131133202100 has 216 divisors, whose sum is σ = 72351899307072. Its totient is φ = 5210808345600.

The previous prime is 22131133202071. The next prime is 22131133202203. The reversal of 22131133202100 is 120233113122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8323281 + ... + 10655480.

It is an arithmetic number, because the mean of its divisors is an integer number (334962496792).

Almost surely, 2^{22131133202100} is an apocalyptic number.

22131133202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131133202100 is an abundant number, since it is smaller than the sum of its proper divisors (50220766104972).

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

22131133202100 is a wasteful number, since it uses less digits than its factorization.

22131133202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18978827 (or 18978807 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22131133202100 its reverse (120233113122), we get a palindrome (22251366315222).

The spelling of 22131133202100 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred thirty-three million, two hundred two thousand, one hundred".