22100100100122 has 64 divisors (see below), whose sum is σ = 49530622846464. Its totient is φ = 6514812843840.

The previous prime is 22100100100087. The next prime is 22100100100129.

22100100100122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22100100100098 and 22100100100107.

It is not an unprimeable number, because it can be changed into a prime (22100100100129) 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 31 ways as a sum of consecutive naturals, for example, 12626413 + ... + 14269775.

It is an arithmetic number, because the mean of its divisors is an integer number (773915981976).

Almost surely, 2^{22100100100122} is an apocalyptic number.

22100100100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22100100100122 is an abundant number, since it is smaller than the sum of its proper divisors (27430522746342).

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

22100100100122 is a wasteful number, since it uses less digits than its factorization.

22100100100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648923.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 22100100 and 100122, that added together give a palindrome (22200222).

The spelling of 22100100100122 in words is "twenty-two trillion, one hundred billion, one hundred million, one hundred thousand, one hundred twenty-two".