10111717851817 has 2 divisors, whose sum is σ = 10111717851818. Its totient is φ = 10111717851816.

The previous prime is 10111717851797. The next prime is 10111717851881. The reversal of 10111717851817 is 71815871711101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9044099890281 + 1067617961536 = 3007341^2 + 1033256^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111717851817 - 2⁷ = 10111717851689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111717851887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055858925908 + 5055858925909.

It is an arithmetic number, because the mean of its divisors is an integer number (5055858925909).

Almost surely, 2^{10111717851817} is an apocalyptic number.

It is an amenable number.

10111717851817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111717851817 is an equidigital number, since it uses as much as digits as its factorization.

10111717851817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109760, while the sum is 49.

The spelling of 10111717851817 in words is "ten trillion, one hundred eleven billion, seven hundred seventeen million, eight hundred fifty-one thousand, eight hundred seventeen".