102642102072137 has 8 divisors (see below), whose sum is σ = 104048348372904. Its totient is φ = 101235860909568.

The previous prime is 102642102072121. The next prime is 102642102072163. The reversal of 102642102072137 is 731270201246201.

It can be written as a sum of positive squares in 4 ways, for example, as 3098061137161 + 99544040934976 = 1760131^2 + 9977176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102642102072137 - 2⁴ = 102642102072121 is a prime.

It is a super-2 number, since 2×102642102072137² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102642102072137.

It is not an unprimeable number, because it can be changed into a prime (102642102075137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56827013 + ... + 58605405.

It is an arithmetic number, because the mean of its divisors is an integer number (13006043546613).

Almost surely, 2^{102642102072137} is an apocalyptic number.

It is an amenable number.

102642102072137 is a deficient number, since it is larger than the sum of its proper divisors (1406246300767).

102642102072137 is an equidigital number, since it uses as much as digits as its factorization.

102642102072137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569099.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 102642102072137 in words is "one hundred two trillion, six hundred forty-two billion, one hundred two million, seventy-two thousand, one hundred thirty-seven".