101002117927717 has 2 divisors, whose sum is σ = 101002117927718. Its totient is φ = 101002117927716.

The previous prime is 101002117927709. The next prime is 101002117927729. The reversal of 101002117927717 is 717729711200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75941621373601 + 25060496554116 = 8714449^2 + 5006046^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002117927717 - 2³ = 101002117927709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002117927757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501058963858 + 50501058963859.

It is an arithmetic number, because the mean of its divisors is an integer number (50501058963859).

Almost surely, 2^{101002117927717} is an apocalyptic number.

It is an amenable number.

101002117927717 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002117927717 is an equidigital number, since it uses as much as digits as its factorization.

101002117927717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86436, while the sum is 46.

The spelling of 101002117927717 in words is "one hundred one trillion, two billion, one hundred seventeen million, nine hundred twenty-seven thousand, seven hundred seventeen".