22100011121100 has 72 divisors (see below), whose sum is σ = 69755671476288. Its totient is φ = 5357578452800.

The previous prime is 22100011121039. The next prime is 22100011121113. The reversal of 22100011121100 is 112111000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3348483234 + ... + 3348489833.

It is an arithmetic number, because the mean of its divisors is an integer number (968828770504).

Almost surely, 2^{22100011121100} is an apocalyptic number.

22100011121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100011121100 is an abundant number, since it is smaller than the sum of its proper divisors (47655660355188).

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

22100011121100 is a wasteful number, since it uses less digits than its factorization.

22100011121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696973095 (or 6696973088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22100011121100 its reverse (112111000122), we get a palindrome (22212122121222).

It can be divided in two parts, 22100011 and 121100, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 22100011121100 in words is "twenty-two trillion, one hundred billion, eleven million, one hundred twenty-one thousand, one hundred".