102138176761 has 2 divisors, whose sum is σ = 102138176762. Its totient is φ = 102138176760.

The previous prime is 102138176729. The next prime is 102138176771. The reversal of 102138176761 is 167671831201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53305574400 + 48832602361 = 230880^2 + 220981^2 .

It is a cyclic number.

It is not a de Polignac number, because 102138176761 - 2⁵ = 102138176729 is a prime.

It is a super-2 number, since 2×102138176761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102138176771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51069088380 + 51069088381.

It is an arithmetic number, because the mean of its divisors is an integer number (51069088381).

Almost surely, 2^102138176761 is an apocalyptic number.

It is an amenable number.

102138176761 is a deficient number, since it is larger than the sum of its proper divisors (1).

102138176761 is an equidigital number, since it uses as much as digits as its factorization.

102138176761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 102138176761 in words is "one hundred two billion, one hundred thirty-eight million, one hundred seventy-six thousand, seven hundred sixty-one".