102112012202112 has 448 divisors, whose sum is σ = 334304764722720. Its totient is φ = 30796319232000.

The previous prime is 102112012202107. The next prime is 102112012202177. The reversal of 102112012202112 is 211202210211201.

102112012202112 is a `hidden beast` number, since 1 + 0 + 211 + 20 + 1 + 220 + 211 + 2 = 666.

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 55 ways as a sum of consecutive naturals, for example, 216341412 + ... + 216812892.

Almost surely, 2^{102112012202112} is an apocalyptic number.

102112012202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167152382361360).

102112012202112 is an abundant number, since it is smaller than the sum of its proper divisors (232192752520608).

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

102112012202112 is an equidigital number, since it uses as much as digits as its factorization.

102112012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471735 (or 471708 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112012202112 its reverse (211202210211201), we get a palindrome (313314222413313).

The spelling of 102112012202112 in words is "one hundred two trillion, one hundred twelve billion, twelve million, two hundred two thousand, one hundred twelve".