22122100122122 has 64 divisors (see below), whose sum is σ = 44554472976384. Its totient is φ = 7955844200640.

The previous prime is 22122100122113. The next prime is 22122100122193.

22122100122122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22122100122094 and 22122100122103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165063983 + ... + 165197949.

It is an arithmetic number, because the mean of its divisors is an integer number (696163640256).

Almost surely, 2^{22122100122122} is an apocalyptic number.

22122100122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22122100122122 is an abundant number, since it is smaller than the sum of its proper divisors (22432372854262).

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

22122100122122 is a wasteful number, since it uses less digits than its factorization.

22122100122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216483.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 22122100 and 122122, that added together give a palindrome (22244222).

The spelling of 22122100122122 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-two".