102112201010112 has 112 divisors (see below), whose sum is σ = 270613678524672. Its totient is φ = 33981746872320.

The previous prime is 102112201010101. The next prime is 102112201010137. The reversal of 102112201010112 is 211010102211201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102112201010091 and 102112201010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371206693 + ... + 2371249755.

It is an arithmetic number, because the mean of its divisors is an integer number (2416193558256).

Almost surely, 2^{102112201010112} is an apocalyptic number.

102112201010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112201010112 is an abundant number, since it is smaller than the sum of its proper divisors (168501477514560).

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

102112201010112 is a wasteful number, since it uses less digits than its factorization.

102112201010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62986 (or 62976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112201010112 its reverse (211010102211201), we get a palindrome (313122303221313).

The spelling of 102112201010112 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, ten thousand, one hundred twelve".