22111110111100 has 72 divisors (see below), whose sum is σ = 49005483448320. Its totient is φ = 8655646134720.

The previous prime is 22111110111091. The next prime is 22111110111109. The reversal of 22111110111100 is 111101111122.

It is an interprime number because it is at equal distance from previous prime (22111110111091) and next prime (22111110111109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111110111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68642617 + ... + 68963983.

It is an arithmetic number, because the mean of its divisors is an integer number (680631714560).

Almost surely, 2^{22111110111100} is an apocalyptic number.

22111110111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111110111100 is an abundant number, since it is smaller than the sum of its proper divisors (26894373337220).

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

22111110111100 is a wasteful number, since it uses less digits than its factorization.

22111110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336067 (or 336060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 22111110111100 its reverse (111101111122), we get a palindrome (22222211222222).

The spelling of 22111110111100 in words is "twenty-two trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred".