101951099712017 has 2 divisors, whose sum is σ = 101951099712018. Its totient is φ = 101951099712016.

The previous prime is 101951099711999. The next prime is 101951099712029. The reversal of 101951099712017 is 710217990159101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100416613014481 + 1534486697536 = 10020809^2 + 1238744^2 .

It is a cyclic number.

It is not a de Polignac number, because 101951099712017 - 2²⁸ = 101950831276561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101951099712017.

It is not a weakly prime, because it can be changed into another prime (101951099412017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50975549856008 + 50975549856009.

It is an arithmetic number, because the mean of its divisors is an integer number (50975549856009).

Almost surely, 2^{101951099712017} is an apocalyptic number.

It is an amenable number.

101951099712017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101951099712017 is an equidigital number, since it uses as much as digits as its factorization.

101951099712017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 357210, while the sum is 53.

The spelling of 101951099712017 in words is "one hundred one trillion, nine hundred fifty-one billion, ninety-nine million, seven hundred twelve thousand, seventeen".