102022080077657 has 2 divisors, whose sum is σ = 102022080077658. Its totient is φ = 102022080077656.

The previous prime is 102022080077623. The next prime is 102022080077713. The reversal of 102022080077657 is 756770080220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78970664263936 + 23051415813721 = 8886544^2 + 4801189^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022080077657 - 2¹⁴ = 102022080061273 is a prime.

It is not a weakly prime, because it can be changed into another prime (102022080071657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011040038828 + 51011040038829.

It is an arithmetic number, because the mean of its divisors is an integer number (51011040038829).

Almost surely, 2^{102022080077657} is an apocalyptic number.

It is an amenable number.

102022080077657 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022080077657 is an equidigital number, since it uses as much as digits as its factorization.

102022080077657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 102022080077657 in words is "one hundred two trillion, twenty-two billion, eighty million, seventy-seven thousand, six hundred fifty-seven".