1001111000117 has 2 divisors, whose sum is σ = 1001111000118. Its totient is φ = 1001111000116.

The previous prime is 1001111000111. The next prime is 1001111000167. The reversal of 1001111000117 is 7110001111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 517465861201 + 483645138916 = 719351^2 + 695446^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001111000117 - 2¹⁰ = 1001110999093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001111000111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555500058 + 500555500059.

It is an arithmetic number, because the mean of its divisors is an integer number (500555500059).

Almost surely, 2^{1001111000117} is an apocalyptic number.

It is an amenable number.

1001111000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111000117 is an equidigital number, since it uses as much as digits as its factorization.

1001111000117 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 1001111000117 its reverse (7110001111001), we get a palindrome (8111112111118).

The spelling of 1001111000117 in words is "one trillion, one billion, one hundred eleven million, one hundred seventeen", and thus it is an aban number.