22122033313100 has 72 divisors (see below), whose sum is σ = 54866417262048. Its totient is φ = 7584175296000.

The previous prime is 22122033313087. The next prime is 22122033313111. The reversal of 22122033313100 is 131333022122.

It is a super-2 number, since 2×22122033313100² (a number of 27 digits) contains 22 as substring.

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, 9163250 + ... + 11322950.

It is an arithmetic number, because the mean of its divisors is an integer number (762033573084).

Almost surely, 2^{22122033313100} is an apocalyptic number.

22122033313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122033313100 is an abundant number, since it is smaller than the sum of its proper divisors (32744383948948).

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

22122033313100 is a wasteful number, since it uses less digits than its factorization.

22122033313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174355 (or 2174348 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 22122033313100 its reverse (131333022122), we get a palindrome (22253366335222).

The spelling of 22122033313100 in words is "twenty-two trillion, one hundred twenty-two billion, thirty-three million, three hundred thirteen thousand, one hundred".