102212100311112 has 64 divisors (see below), whose sum is σ = 309733637313600. Its totient is φ = 30973363729920.

The previous prime is 102212100311003. The next prime is 102212100311131. The reversal of 102212100311112 is 211113001212201.

It is a happy number.

102212100311112 is a `hidden beast` number, since 1 + 0 + 221 + 21 + 0 + 0 + 311 + 112 = 666.

102212100311112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21509277993 + ... + 21509282744.

It is an arithmetic number, because the mean of its divisors is an integer number (4839588083025).

Almost surely, 2^{102212100311112} is an apocalyptic number.

102212100311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212100311112 is an abundant number, since it is smaller than the sum of its proper divisors (207521537002488).

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

102212100311112 is a wasteful number, since it uses less digits than its factorization.

102212100311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43018560763 (or 43018560753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102212100311112 its reverse (211113001212201), we get a palindrome (313325101523313).

The spelling of 102212100311112 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, three hundred eleven thousand, one hundred twelve".