102112721117 has 32 divisors (see below), whose sum is σ = 118286192640. Its totient is φ = 87176736000.

The previous prime is 102112721107. The next prime is 102112721147. The reversal of 102112721117 is 711127211201.

It is a cyclic number.

It is not a de Polignac number, because 102112721117 - 2¹⁰ = 102112720093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112721107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11227742 + ... + 11236832.

It is an arithmetic number, because the mean of its divisors is an integer number (3696443520).

Almost surely, 2^102112721117 is an apocalyptic number.

It is an amenable number.

102112721117 is a deficient number, since it is larger than the sum of its proper divisors (16173471523).

102112721117 is a wasteful number, since it uses less digits than its factorization.

102112721117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585.

The product of its (nonzero) digits is 392, while the sum is 26.

Adding to 102112721117 its reverse (711127211201), we get a palindrome (813239932318).

The spelling of 102112721117 in words is "one hundred two billion, one hundred twelve million, seven hundred twenty-one thousand, one hundred seventeen".