22100020012100 has 72 divisors (see below), whose sum is σ = 48060977416200. Its totient is φ = 8820856729600.

The previous prime is 22100020012093. The next prime is 22100020012117. The reversal of 22100020012100 is 121002000122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2951221639744 + 19148798372356 = 1717912^2 + 4375934^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267743636 + ... + 267826164.

It is an arithmetic number, because the mean of its divisors is an integer number (667513575225).

Almost surely, 2^{22100020012100} is an apocalyptic number.

22100020012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100020012100 is an abundant number, since it is smaller than the sum of its proper divisors (25960957404100).

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

22100020012100 is a wasteful number, since it uses less digits than its factorization.

22100020012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88313 (or 88306 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22100020012100 its reverse (121002000122), we get a palindrome (22221022012222).

The spelling of 22100020012100 in words is "twenty-two trillion, one hundred billion, twenty million, twelve thousand, one hundred".