22101001000100 has 72 divisors (see below), whose sum is σ = 52380148268448. Its totient is φ = 8027349548800.

The previous prime is 22101001000079. The next prime is 22101001000153. The reversal of 22101001000100 is 100010010122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10779482 + ... + 12664881.

It is an arithmetic number, because the mean of its divisors is an integer number (727502059284).

Almost surely, 2^{22101001000100} is an apocalyptic number.

22101001000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101001000100 is an abundant number, since it is smaller than the sum of its proper divisors (30279147268348).

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

22101001000100 is a wasteful number, since it uses less digits than its factorization.

22101001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23445245 (or 23445238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22101001000100 its reverse (100010010122), we get a palindrome (22201011010222).

The spelling of 22101001000100 in words is "twenty-two trillion, one hundred one billion, one million, one hundred", and thus it is an aban number.