102165772256641 has 2 divisors, whose sum is σ = 102165772256642. Its totient is φ = 102165772256640.

The previous prime is 102165772256539. The next prime is 102165772256657. The reversal of 102165772256641 is 146652277561201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72737273818225 + 29428498438416 = 8528615^2 + 5424804^2 .

It is a cyclic number.

It is not a de Polignac number, because 102165772256641 - 2²⁷ = 102165638038913 is a prime.

It is not a weakly prime, because it can be changed into another prime (102165772256741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51082886128320 + 51082886128321.

It is an arithmetic number, because the mean of its divisors is an integer number (51082886128321).

Almost surely, 2^{102165772256641} is an apocalyptic number.

It is an amenable number.

102165772256641 is a deficient number, since it is larger than the sum of its proper divisors (1).

102165772256641 is an equidigital number, since it uses as much as digits as its factorization.

102165772256641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 102165772256641 in words is "one hundred two trillion, one hundred sixty-five billion, seven hundred seventy-two million, two hundred fifty-six thousand, six hundred forty-one".