102112100010112 has 32 divisors (see below), whose sum is σ = 204089076187920. Its totient is φ = 50889743633664.

The previous prime is 102112100010079. The next prime is 102112100010119. The reversal of 102112100010112 is 211010001211201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×102112100010112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102112100010092 and 102112100010101.

It is not an unprimeable number, because it can be changed into a prime (102112100010119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1299229078 + ... + 1299307669.

Almost surely, 2^{102112100010112} is an apocalyptic number.

It is an amenable number.

102112100010112 is a deficient number, since it is larger than the sum of its proper divisors (101976976177808).

102112100010112 is an equidigital number, since it uses as much as digits as its factorization.

102112100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598537068 (or 2598537056 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102112100010112 its reverse (211010001211201), we get a palindrome (313122101221313).

The spelling of 102112100010112 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, ten thousand, one hundred twelve".