101992840131937 has 2 divisors, whose sum is σ = 101992840131938. Its totient is φ = 101992840131936.

The previous prime is 101992840131877. The next prime is 101992840131967. The reversal of 101992840131937 is 739131048299101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101638477091281 + 354363040656 = 10081591^2 + 595284^2 .

It is a cyclic number.

It is not a de Polignac number, because 101992840131937 - 2¹¹ = 101992840129889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101992840131967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50996420065968 + 50996420065969.

It is an arithmetic number, because the mean of its divisors is an integer number (50996420065969).

Almost surely, 2^{101992840131937} is an apocalyptic number.

It is an amenable number.

101992840131937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101992840131937 is an equidigital number, since it uses as much as digits as its factorization.

101992840131937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 101992840131937 in words is "one hundred one trillion, nine hundred ninety-two billion, eight hundred forty million, one hundred thirty-one thousand, nine hundred thirty-seven".