102211122111200 has 72 divisors (see below), whose sum is σ = 250101842145120. Its totient is φ = 40789589196800.

The previous prime is 102211122111181. The next prime is 102211122111209. The reversal of 102211122111200 is 2111221112201.

It is a super-2 number, since 2×102211122111200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211122111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147873185 + ... + 148562784.

It is an arithmetic number, because the mean of its divisors is an integer number (3473636696460).

Almost surely, 2^{102211122111200} is an apocalyptic number.

102211122111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211122111200 is an abundant number, since it is smaller than the sum of its proper divisors (147890720033920).

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

102211122111200 is a wasteful number, since it uses less digits than its factorization.

102211122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296436420 (or 296436407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102211122111200 its reverse (2111221112201), we get a palindrome (104322343223401).

The spelling of 102211122111200 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".