102112120201 has 48 divisors (see below), whose sum is σ = 127352680704. Its totient is φ = 80164760832.

The previous prime is 102112120193. The next prime is 102112120217. The reversal of 102112120201 is 102021211201.

It is not a de Polignac number, because 102112120201 - 2³ = 102112120193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112120601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103877556 + ... + 103878538.

It is an arithmetic number, because the mean of its divisors is an integer number (2653180848).

Almost surely, 2^102112120201 is an apocalyptic number.

It is an amenable number.

102112120201 is a deficient number, since it is larger than the sum of its proper divisors (25240560503).

102112120201 is a wasteful number, since it uses less digits than its factorization.

102112120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112120201 its reverse (102021211201), we get a palindrome (204133331402).

The spelling of 102112120201 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, two hundred one".