22101211000100 has 72 divisors (see below), whose sum is σ = 50821444485000. Its totient is φ = 8313793413120.

The previous prime is 22101211000091. The next prime is 22101211000157. The reversal of 22101211000100 is 100011210122.

It can be written as a sum of positive squares in 12 ways, for example, as 684696671296 + 21416514328804 = 827464^2 + 4627798^2 .

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, 3081149 + ... + 7327748.

It is an arithmetic number, because the mean of its divisors is an integer number (705853395625).

Almost surely, 2^{22101211000100} is an apocalyptic number.

22101211000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101211000100 is an abundant number, since it is smaller than the sum of its proper divisors (28720233484900).

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

22101211000100 is a wasteful number, since it uses less digits than its factorization.

22101211000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410177 (or 10410170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22101211000100 its reverse (100011210122), we get a palindrome (22201222210222).

The spelling of 22101211000100 in words is "twenty-two trillion, one hundred one billion, two hundred eleven million, one hundred", and thus it is an aban number.