100111009993717 has 2 divisors, whose sum is σ = 100111009993718. Its totient is φ = 100111009993716.

The previous prime is 100111009993609. The next prime is 100111009993721. The reversal of 100111009993717 is 717399900111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97338765013681 + 2772244980036 = 9866041^2 + 1665006^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111009993717 - 2¹¹ = 100111009991669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111009993727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055504996858 + 50055504996859.

It is an arithmetic number, because the mean of its divisors is an integer number (50055504996859).

Almost surely, 2^{100111009993717} is an apocalyptic number.

It is an amenable number.

100111009993717 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111009993717 is an equidigital number, since it uses as much as digits as its factorization.

100111009993717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 107163, while the sum is 49.

The spelling of 100111009993717 in words is "one hundred trillion, one hundred eleven billion, nine million, nine hundred ninety-three thousand, seven hundred seventeen".