21122211022000 has 80 divisors (see below), whose sum is σ = 55716552332064. Its totient is φ = 7680804000000.

The previous prime is 21122211021983. The next prime is 21122211022051. The reversal of 21122211022000 is 22011222112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21122211022000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480028251 + ... + 480072250.

Almost surely, 2^{21122211022000} is an apocalyptic number.

21122211022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122211022000 is an abundant number, since it is smaller than the sum of its proper divisors (34594341310064).

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

21122211022000 is a wasteful number, since it uses less digits than its factorization.

21122211022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960100535 (or 960100519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122211022000 its reverse (22011222112), we get a palindrome (21144222244112).

The spelling of 21122211022000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand".