102164135617 has 2 divisors, whose sum is σ = 102164135618. Its totient is φ = 102164135616.

The previous prime is 102164135599. The next prime is 102164135627. The reversal of 102164135617 is 716531461201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90562476096 + 11601659521 = 300936^2 + 107711^2 .

It is a cyclic number.

It is not a de Polignac number, because 102164135617 - 2²⁷ = 102029917889 is a prime.

It is not a weakly prime, because it can be changed into another prime (102164135627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51082067808 + 51082067809.

It is an arithmetic number, because the mean of its divisors is an integer number (51082067809).

Almost surely, 2^102164135617 is an apocalyptic number.

It is an amenable number.

102164135617 is a deficient number, since it is larger than the sum of its proper divisors (1).

102164135617 is an equidigital number, since it uses as much as digits as its factorization.

102164135617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 102164135617 its reverse (716531461201), we get a palindrome (818695596818).

The spelling of 102164135617 in words is "one hundred two billion, one hundred sixty-four million, one hundred thirty-five thousand, six hundred seventeen".