101114517667937 has 2 divisors, whose sum is σ = 101114517667938. Its totient is φ = 101114517667936.

The previous prime is 101114517667913. The next prime is 101114517667993. The reversal of 101114517667937 is 739766715411101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62897096931361 + 38217420736576 = 7930769^2 + 6182024^2 .

It is a cyclic number.

It is not a de Polignac number, because 101114517667937 - 2⁴⁶ = 30745773490273 is a prime.

It is not a weakly prime, because it can be changed into another prime (101114517667907) 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, 50557258833968 + 50557258833969.

It is an arithmetic number, because the mean of its divisors is an integer number (50557258833969).

Almost surely, 2^{101114517667937} is an apocalyptic number.

It is an amenable number.

101114517667937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101114517667937 is an equidigital number, since it uses as much as digits as its factorization.

101114517667937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 59.

The spelling of 101114517667937 in words is "one hundred one trillion, one hundred fourteen billion, five hundred seventeen million, six hundred sixty-seven thousand, nine hundred thirty-seven".