102112120113 has 16 divisors (see below), whose sum is σ = 136489453056. Its totient is φ = 67904919680.

The previous prime is 102112120087. The next prime is 102112120127. The reversal of 102112120113 is 311021211201.

It is a cyclic number.

It is not a de Polignac number, because 102112120113 - 2¹⁰ = 102112119089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112120092 and 102112120101.

It is not an unprimeable number, because it can be changed into a prime (102112120183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831431 + ... + 2867267.

It is an arithmetic number, because the mean of its divisors is an integer number (8530590816).

Almost surely, 2^102112120113 is an apocalyptic number.

It is an amenable number.

102112120113 is a deficient number, since it is larger than the sum of its proper divisors (34377332943).

102112120113 is a wasteful number, since it uses less digits than its factorization.

102112120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38184.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102112120113 its reverse (311021211201), we get a palindrome (413133331314).

The spelling of 102112120113 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred thirteen".