8101114657 has 2 divisors, whose sum is σ = 8101114658. Its totient is φ = 8101114656.

The previous prime is 8101114639. The next prime is 8101114663. The reversal of 8101114657 is 7564111018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6393441681 + 1707672976 = 79959^2 + 41324^2 .

It is a cyclic number.

It is not a de Polignac number, because 8101114657 - 2⁷ = 8101114529 is a prime.

It is not a weakly prime, because it can be changed into another prime (8101114667) 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, 4050557328 + 4050557329.

It is an arithmetic number, because the mean of its divisors is an integer number (4050557329).

Almost surely, 2^8101114657 is an apocalyptic number.

It is an amenable number.

8101114657 is a deficient number, since it is larger than the sum of its proper divisors (1).

8101114657 is an equidigital number, since it uses as much as digits as its factorization.

8101114657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 34.

The square root of 8101114657 is about 90006.1923258617. The cubic root of 8101114657 is about 2008.3909680117.

The spelling of 8101114657 in words is "eight billion, one hundred one million, one hundred fourteen thousand, six hundred fifty-seven".