102112112012001 has 64 divisors (see below), whose sum is σ = 168029070139392. Its totient is φ = 53713343054592.

The previous prime is 102112112011999. The next prime is 102112112012083. The reversal of 102112112012001 is 100210211211201.

It is a happy number.

It is not a de Polignac number, because 102112112012001 - 2¹ = 102112112011999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112112013001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2295508906 + ... + 2295553388.

It is an arithmetic number, because the mean of its divisors is an integer number (2625454220928).

Almost surely, 2^{102112112012001} is an apocalyptic number.

It is an amenable number.

102112112012001 is a deficient number, since it is larger than the sum of its proper divisors (65916958127391).

102112112012001 is a wasteful number, since it uses less digits than its factorization.

102112112012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67422.

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

Adding to 102112112012001 its reverse (100210211211201), we get a palindrome (202322323223202).

The spelling of 102112112012001 in words is "one hundred two trillion, one hundred twelve billion, one hundred twelve million, twelve thousand, one".