1111001010017 has 2 divisors, whose sum is σ = 1111001010018. Its totient is φ = 1111001010016.

The previous prime is 1111001009891. The next prime is 1111001010037. The reversal of 1111001010017 is 7100101001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1013251612816 + 97749397201 = 1006604^2 + 312649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111001010017 - 2²⁰ = 1110999961441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111001009983 and 1111001010010.

It is not a weakly prime, because it can be changed into another prime (1111001010037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555500505008 + 555500505009.

It is an arithmetic number, because the mean of its divisors is an integer number (555500505009).

Almost surely, 2^{1111001010017} is an apocalyptic number.

It is an amenable number.

1111001010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111001010017 is an equidigital number, since it uses as much as digits as its factorization.

1111001010017 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 1111001010017 its reverse (7100101001111), we get a palindrome (8211102011128).

The spelling of 1111001010017 in words is "one trillion, one hundred eleven billion, one million, ten thousand, seventeen".