21122110120100 has 72 divisors (see below), whose sum is σ = 51065663338368. Its totient is φ = 7517346716800.

The previous prime is 21122110120009. The next prime is 21122110120121. The reversal of 21122110120100 is 102101122112.

It is a super-2 number, since 2×21122110120100² (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, 204224027 + ... + 204327426.

It is an arithmetic number, because the mean of its divisors is an integer number (709245324144).

Almost surely, 2^{21122110120100} is an apocalyptic number.

21122110120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122110120100 is an abundant number, since it is smaller than the sum of its proper divisors (29943553218268).

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

21122110120100 is a wasteful number, since it uses less digits than its factorization.

21122110120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408551525 (or 408551518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122110120100 its reverse (102101122112), we get a palindrome (21224211242212).

The spelling of 21122110120100 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, one hundred".