22122120010100 has 162 divisors, whose sum is σ = 52857130097730. Its totient is φ = 8030511174400.

The previous prime is 22122120010069. The next prime is 22122120010127. The reversal of 22122120010100 is 101002122122.

It can be written as a sum of positive squares in 9 ways, for example, as 559043326864 + 21563076683236 = 747692^2 + 4643606^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5545778906 + ... + 5545782894.

Almost surely, 2^{22122120010100} is an apocalyptic number.

22122120010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122120010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26428565048865).

22122120010100 is an abundant number, since it is smaller than the sum of its proper divisors (30735010087630).

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

22122120010100 is a wasteful number, since it uses less digits than its factorization.

22122120010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 4684 counting only the distinct ones).

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

Adding to 22122120010100 its reverse (101002122122), we get a palindrome (22223122132222).

The spelling of 22122120010100 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, ten thousand, one hundred".