38800101017 has 2 divisors, whose sum is σ = 38800101018. Its totient is φ = 38800101016.

The previous prime is 38800100971. The next prime is 38800101061. The reversal of 38800101017 is 71010100883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34898349721 + 3901751296 = 186811^2 + 62464^2 .

It is an emirp because it is prime and its reverse (71010100883) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38800101017 - 2¹⁸ = 38799838873 is a prime.

It is not a weakly prime, because it can be changed into another prime (38800109017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19400050508 + 19400050509.

It is an arithmetic number, because the mean of its divisors is an integer number (19400050509).

Almost surely, 2^38800101017 is an apocalyptic number.

It is an amenable number.

38800101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

38800101017 is an equidigital number, since it uses as much as digits as its factorization.

38800101017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 38800101017 in words is "thirty-eight billion, eight hundred million, one hundred one thousand, seventeen".