100111100984617 has 2 divisors, whose sum is σ = 100111100984618. Its totient is φ = 100111100984616.

The previous prime is 100111100984599. The next prime is 100111100984681. The reversal of 100111100984617 is 716489001111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57433677407001 + 42677423577616 = 7578501^2 + 6532796^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100984617 - 2³⁵ = 100076741246249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111100984617.

It is not a weakly prime, because it can be changed into another prime (100111190984617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550492308 + 50055550492309.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550492309).

Almost surely, 2^{100111100984617} is an apocalyptic number.

It is an amenable number.

100111100984617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100984617 is an equidigital number, since it uses as much as digits as its factorization.

100111100984617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 40.

The spelling of 100111100984617 in words is "one hundred trillion, one hundred eleven billion, one hundred million, nine hundred eighty-four thousand, six hundred seventeen".