10117221617 has 2 divisors, whose sum is σ = 10117221618. Its totient is φ = 10117221616.

The previous prime is 10117221601. The next prime is 10117221637. The reversal of 10117221617 is 71612271101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9740900416 + 376321201 = 98696^2 + 19399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117221617 - 2⁴ = 10117221601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10117221617.

It is not a weakly prime, because it can be changed into another prime (10117221637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058610808 + 5058610809.

It is an arithmetic number, because the mean of its divisors is an integer number (5058610809).

Almost surely, 2^10117221617 is an apocalyptic number.

It is an amenable number.

10117221617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117221617 is an equidigital number, since it uses as much as digits as its factorization.

10117221617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 29.

Adding to 10117221617 its reverse (71612271101), we get a palindrome (81729492718).

The spelling of 10117221617 in words is "ten billion, one hundred seventeen million, two hundred twenty-one thousand, six hundred seventeen".