10001110011017 has 2 divisors, whose sum is σ = 10001110011018. Its totient is φ = 10001110011016.

The previous prime is 10001110011007. The next prime is 10001110011019. The reversal of 10001110011017 is 71011001110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9663294485056 + 337815525961 = 3108584^2 + 581219^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001110011017 - 2⁸ = 10001110010761 is a prime.

It is a super-2 number, since 2×10001110011017² (a number of 27 digits) contains 22 as substring.

Together with 10001110011019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001110010992 and 10001110011010.

It is not a weakly prime, because it can be changed into another prime (10001110011019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555005508 + 5000555005509.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555005509).

Almost surely, 2^{10001110011017} is an apocalyptic number.

It is an amenable number.

10001110011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001110011017 is an equidigital number, since it uses as much as digits as its factorization.

10001110011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10001110011017 its reverse (71011001110001), we get a palindrome (81012111121018).

The spelling of 10001110011017 in words is "ten trillion, one billion, one hundred ten million, eleven thousand, seventeen".