22100222100100 has 36 divisors (see below), whose sum is σ = 48184768647568. Its totient is φ = 8798192676000.

The previous prime is 22100222100097. The next prime is 22100222100101. The reversal of 22100222100100 is 100122200122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22100222100101) 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 11 ways as a sum of consecutive naturals, for example, 523680846 + ... + 523723045.

Almost surely, 2^{22100222100100} is an apocalyptic number.

22100222100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100222100100 is an abundant number, since it is smaller than the sum of its proper divisors (26084546547468).

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

22100222100100 is a wasteful number, since it uses less digits than its factorization.

22100222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047404116 (or 1047404109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22100222100100 its reverse (100122200122), we get a palindrome (22200344300222).

The spelling of 22100222100100 in words is "twenty-two trillion, one hundred billion, two hundred twenty-two million, one hundred thousand, one hundred".