22122110100020 has 48 divisors (see below), whose sum is σ = 53115363681408. Its totient is φ = 7581537828480.

The previous prime is 22122110100001. The next prime is 22122110100029. The reversal of 22122110100020 is 2000101122122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22122110099968 and 22122110100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122110100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32849162 + ... + 33515841.

It is an arithmetic number, because the mean of its divisors is an integer number (1106570076696).

Almost surely, 2^{22122110100020} is an apocalyptic number.

22122110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122110100020 is an abundant number, since it is smaller than the sum of its proper divisors (30993253581388).

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

22122110100020 is a wasteful number, since it uses less digits than its factorization.

22122110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66367400 (or 66367398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22122110100020 its reverse (2000101122122), we get a palindrome (24122211222142).

The spelling of 22122110100020 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand, twenty".