101076774017 has 2 divisors, whose sum is σ = 101076774018. Its totient is φ = 101076774016.

The previous prime is 101076773923. The next prime is 101076774053. The reversal of 101076774017 is 710477670101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96522683761 + 4554090256 = 310681^2 + 67484^2 .

It is a cyclic number.

It is not a de Polignac number, because 101076774017 - 2⁸ = 101076773761 is a prime.

It is not a weakly prime, because it can be changed into another prime (101076774077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50538387008 + 50538387009.

It is an arithmetic number, because the mean of its divisors is an integer number (50538387009).

Almost surely, 2^101076774017 is an apocalyptic number.

It is an amenable number.

101076774017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101076774017 is an equidigital number, since it uses as much as digits as its factorization.

101076774017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57624, while the sum is 41.

The spelling of 101076774017 in words is "one hundred one billion, seventy-six million, seven hundred seventy-four thousand, seventeen".