22102200220122 has 48 divisors (see below), whose sum is σ = 53653498340832. Its totient is φ = 6516619227360.

The previous prime is 22102200220031. The next prime is 22102200220123.

22102200220122 is a `hidden beast` number, since 2 + 210 + 220 + 0 + 220 + 12 + 2 = 666.

22102200220122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102200220095 and 22102200220104.

It is not an unprimeable number, because it can be changed into a prime (22102200220123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508469348 + ... + 1508483999.

It is an arithmetic number, because the mean of its divisors is an integer number (1117781215434).

Almost surely, 2^{22102200220122} is an apocalyptic number.

22102200220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22102200220122 is an abundant number, since it is smaller than the sum of its proper divisors (31551298120710).

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

22102200220122 is a wasteful number, since it uses less digits than its factorization.

22102200220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016953403 (or 3016953400 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 22102200 and 220122, that added together give a palindrome (22322322).

The spelling of 22102200220122 in words is "twenty-two trillion, one hundred two billion, two hundred million, two hundred twenty thousand, one hundred twenty-two".