4117100000017 has 2 divisors, whose sum is σ = 4117100000018. Its totient is φ = 4117100000016.

The previous prime is 4117099999981. The next prime is 4117100000029. The reversal of 4117100000017 is 7100000017114.

4117100000017 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2952774836496 + 1164325163521 = 1718364^2 + 1079039^2 .

It is a cyclic number.

It is not a de Polignac number, because 4117100000017 - 2²⁷ = 4116965782289 is a prime.

It is not a weakly prime, because it can be changed into another prime (4117100000417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058550000008 + 2058550000009.

It is an arithmetic number, because the mean of its divisors is an integer number (2058550000009).

Almost surely, 2^{4117100000017} is an apocalyptic number.

It is an amenable number.

4117100000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117100000017 is an equidigital number, since it uses as much as digits as its factorization.

4117100000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 22.

The spelling of 4117100000017 in words is "four trillion, one hundred seventeen billion, one hundred million, seventeen", and thus it is an aban number.