10001112101017 has 2 divisors, whose sum is σ = 10001112101018. Its totient is φ = 10001112101016.

The previous prime is 10001112100949. The next prime is 10001112101021. The reversal of 10001112101017 is 71010121110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9689953411161 + 311158689856 = 3112869^2 + 557816^2 .

It is an emirp because it is prime and its reverse (71010121110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001112101017 - 2²⁷ = 10000977883289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001112101087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000556050508 + 5000556050509.

It is an arithmetic number, because the mean of its divisors is an integer number (5000556050509).

Almost surely, 2^{10001112101017} is an apocalyptic number.

It is an amenable number.

10001112101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001112101017 is an equidigital number, since it uses as much as digits as its factorization.

10001112101017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 10001112101017 its reverse (71010121110001), we get a palindrome (81011233211018).

The spelling of 10001112101017 in words is "ten trillion, one billion, one hundred twelve million, one hundred one thousand, seventeen".