111001117 has 2 divisors, whose sum is σ = 111001118. Its totient is φ = 111001116.

The previous prime is 111001081. The next prime is 111001139. The reversal of 111001117 is 711100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85488516 + 25512601 = 9246^2 + 5051^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001117 - 2¹⁵ = 110968349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001097 and 111001106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111001717) 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, 55500558 + 55500559.

It is an arithmetic number, because the mean of its divisors is an integer number (55500559).

Almost surely, 2^111001117 is an apocalyptic number.

It is an amenable number.

111001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001117 is an equidigital number, since it uses as much as digits as its factorization.

111001117 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 13.

The square root of 111001117 is about 10535.7067631934. The cubic root of 111001117 is about 480.5911654328.

Adding to 111001117 its reverse (711100111), we get a palindrome (822101228).

It can be divided in two parts, 11100111 and 7, that multiplied together give a palindrome (77700777).

The spelling of 111001117 in words is "one hundred eleven million, one thousand, one hundred seventeen".