101157677005117 has 2 divisors, whose sum is σ = 101157677005118. Its totient is φ = 101157677005116.

The previous prime is 101157677005109. The next prime is 101157677005127. The reversal of 101157677005117 is 711500776751101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72334157492601 + 28823519512516 = 8504949^2 + 5368754^2 .

It is a cyclic number.

It is not a de Polignac number, because 101157677005117 - 2³ = 101157677005109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101157677005127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50578838502558 + 50578838502559.

It is an arithmetic number, because the mean of its divisors is an integer number (50578838502559).

Almost surely, 2^{101157677005117} is an apocalyptic number.

It is an amenable number.

101157677005117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101157677005117 is an equidigital number, since it uses as much as digits as its factorization.

101157677005117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360150, while the sum is 49.

The spelling of 101157677005117 in words is "one hundred one trillion, one hundred fifty-seven billion, six hundred seventy-seven million, five thousand, one hundred seventeen".