102111737857 has 2 divisors, whose sum is σ = 102111737858. Its totient is φ = 102111737856.

The previous prime is 102111737843. The next prime is 102111737869. The reversal of 102111737857 is 758737111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99795337216 + 2316400641 = 315904^2 + 48129^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111737857 - 2¹⁵ = 102111705089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102111737657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055868928 + 51055868929.

It is an arithmetic number, because the mean of its divisors is an integer number (51055868929).

Almost surely, 2^102111737857 is an apocalyptic number.

It is an amenable number.

102111737857 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111737857 is an equidigital number, since it uses as much as digits as its factorization.

102111737857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 43.

The spelling of 102111737857 in words is "one hundred two billion, one hundred eleven million, seven hundred thirty-seven thousand, eight hundred fifty-seven".