1110110110117 has 2 divisors, whose sum is σ = 1110110110118. Its totient is φ = 1110110110116.

The previous prime is 1110110110111. The next prime is 1110110110129. The reversal of 1110110110117 is 7110110110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1078054430436 + 32055679681 = 1038294^2 + 179041^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110110110117 - 2³⁵ = 1075750371749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1110110110117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110110110111) 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, 555055055058 + 555055055059.

It is an arithmetic number, because the mean of its divisors is an integer number (555055055059).

Almost surely, 2^{1110110110117} is an apocalyptic number.

It is an amenable number.

1110110110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110110110117 is an equidigital number, since it uses as much as digits as its factorization.

1110110110117 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 16.

Adding to 1110110110117 its reverse (7110110110111), we get a palindrome (8220220220228).

The spelling of 1110110110117 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred seventeen".