100100100983717 has 2 divisors, whose sum is σ = 100100100983718. Its totient is φ = 100100100983716.

The previous prime is 100100100983689. The next prime is 100100100983719. The reversal of 100100100983717 is 717389001001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66707582535841 + 33392518447876 = 8167471^2 + 5778626^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100983717 - 2³⁸ = 99825223076773 is a prime.

It is a super-2 number, since 2×100100100983717² (a number of 29 digits) contains 22 as substring.

Together with 100100100983719, 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 (100100100983719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050491858 + 50050050491859.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050491859).

Almost surely, 2^{100100100983717} is an apocalyptic number.

It is an amenable number.

100100100983717 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100983717 is an equidigital number, since it uses as much as digits as its factorization.

100100100983717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 38.

Adding to 100100100983717 its reverse (717389001001001), we get a palindrome (817489101984718).

The spelling of 100100100983717 in words is "one hundred trillion, one hundred billion, one hundred million, nine hundred eighty-three thousand, seven hundred seventeen".