102112101202112 has 56 divisors (see below), whose sum is σ = 208108741008000. Its totient is φ = 49675300669440.

The previous prime is 102112101202079. The next prime is 102112101202147. The reversal of 102112101202112 is 211202101211201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149769764 + ... + 150450012.

It is an arithmetic number, because the mean of its divisors is an integer number (3716227518000).

Almost surely, 2^{102112101202112} is an apocalyptic number.

It is an amenable number.

102112101202112 is an abundant number, since it is smaller than the sum of its proper divisors (105996639805888).

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

102112101202112 is an equidigital number, since it uses as much as digits as its factorization.

102112101202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743689 (or 743679 counting only the distinct ones).

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

Adding to 102112101202112 its reverse (211202101211201), we get a palindrome (313314202413313).

The spelling of 102112101202112 in words is "one hundred two trillion, one hundred twelve billion, one hundred one million, two hundred two thousand, one hundred twelve".