10001111100917 has 2 divisors, whose sum is σ = 10001111100918. Its totient is φ = 10001111100916.

The previous prime is 10001111100887. The next prime is 10001111101001. The reversal of 10001111100917 is 71900111110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9782469757636 + 218641343281 = 3127694^2 + 467591^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001111100917 - 2⁸ = 10001111100661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001111100892 and 10001111100901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10081111100917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555550458 + 5000555550459.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555550459).

Almost surely, 2^{10001111100917} is an apocalyptic number.

It is an amenable number.

10001111100917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111100917 is an equidigital number, since it uses as much as digits as its factorization.

10001111100917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 23.

Adding to 10001111100917 its reverse (71900111110001), we get a palindrome (81901222210918).

The spelling of 10001111100917 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, nine hundred seventeen".