100968807139217 has 2 divisors, whose sum is σ = 100968807139218. Its totient is φ = 100968807139216.

The previous prime is 100968807139177. The next prime is 100968807139219. The reversal of 100968807139217 is 712931708869001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93046068389521 + 7922738749696 = 9646039^2 + 2814736^2 .

It is an emirp because it is prime and its reverse (712931708869001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100968807139217 - 2⁶ = 100968807139153 is a prime.

Together with 100968807139219, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100968807139217.

It is not a weakly prime, because it can be changed into another prime (100968807139219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50484403569608 + 50484403569609.

It is an arithmetic number, because the mean of its divisors is an integer number (50484403569609).

Almost surely, 2^{100968807139217} is an apocalyptic number.

It is an amenable number.

100968807139217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100968807139217 is an equidigital number, since it uses as much as digits as its factorization.

100968807139217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9144576, while the sum is 62.

The spelling of 100968807139217 in words is "one hundred trillion, nine hundred sixty-eight billion, eight hundred seven million, one hundred thirty-nine thousand, two hundred seventeen".