102021112122112 has 72 divisors (see below), whose sum is σ = 217845661508496. Its totient is φ = 47514987134976.

The previous prime is 102021112122103. The next prime is 102021112122113. The reversal of 102021112122112 is 211221211120201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102021112122112.

It is not an unprimeable number, because it can be changed into a prime (102021112122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120414718 + ... + 121259005.

It is an arithmetic number, because the mean of its divisors is an integer number (3025634187618).

Almost surely, 2^{102021112122112} is an apocalyptic number.

It is an amenable number.

102021112122112 is an abundant number, since it is smaller than the sum of its proper divisors (115824549386384).

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

102021112122112 is an equidigital number, since it uses as much as digits as its factorization.

102021112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241673853 (or 241673839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102021112122112 its reverse (211221211120201), we get a palindrome (313242323242313).

The spelling of 102021112122112 in words is "one hundred two trillion, twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".