101631027274079 has 2 divisors, whose sum is σ = 101631027274080. Its totient is φ = 101631027274078.

The previous prime is 101631027274013. The next prime is 101631027274081. The reversal of 101631027274079 is 970472720136101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101631027274079 is a prime.

Together with 101631027274081, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101631027274979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50815513637039 + 50815513637040.

It is an arithmetic number, because the mean of its divisors is an integer number (50815513637040).

Almost surely, 2^{101631027274079} is an apocalyptic number.

101631027274079 is a deficient number, since it is larger than the sum of its proper divisors (1).

101631027274079 is an equidigital number, since it uses as much as digits as its factorization.

101631027274079 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 889056, while the sum is 50.

The spelling of 101631027274079 in words is "one hundred one trillion, six hundred thirty-one billion, twenty-seven million, two hundred seventy-four thousand, seventy-nine".