1000111010117 has 2 divisors, whose sum is σ = 1000111010118. Its totient is φ = 1000111010116.

The previous prime is 1000111010051. The next prime is 1000111010167. The reversal of 1000111010117 is 7110101110001.

1000111010117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 752774875876 + 247336134241 = 867626^2 + 497329^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000111010117 - 2¹⁴ = 1000110993733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000111010167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055505058 + 500055505059.

It is an arithmetic number, because the mean of its divisors is an integer number (500055505059).

Almost surely, 2^{1000111010117} is an apocalyptic number.

It is an amenable number.

1000111010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000111010117 is an equidigital number, since it uses as much as digits as its factorization.

1000111010117 is an evil number, because the sum of its binary digits is even.

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

Adding to 1000111010117 its reverse (7110101110001), we get a palindrome (8110212120118).

The spelling of 1000111010117 in words is "one trillion, one hundred eleven million, ten thousand, one hundred seventeen".