102257426132777 has 2 divisors, whose sum is σ = 102257426132778. Its totient is φ = 102257426132776.

The previous prime is 102257426132717. The next prime is 102257426132779. The reversal of 102257426132777 is 777231624752201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101457351340816 + 800074791961 = 10072604^2 + 894469^2 .

It is a cyclic number.

It is not a de Polignac number, because 102257426132777 - 2³⁶ = 102188706656041 is a prime.

Together with 102257426132779, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102257426132779) 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, 51128713066388 + 51128713066389.

It is an arithmetic number, because the mean of its divisors is an integer number (51128713066389).

Almost surely, 2^{102257426132777} is an apocalyptic number.

It is an amenable number.

102257426132777 is a deficient number, since it is larger than the sum of its proper divisors (1).

102257426132777 is an equidigital number, since it uses as much as digits as its factorization.

102257426132777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13829760, while the sum is 56.

The spelling of 102257426132777 in words is "one hundred two trillion, two hundred fifty-seven billion, four hundred twenty-six million, one hundred thirty-two thousand, seven hundred seventy-seven".