111000100117 has 2 divisors, whose sum is σ = 111000100118. Its totient is φ = 111000100116.

The previous prime is 111000100103. The next prime is 111000100129. The reversal of 111000100117 is 711001000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78511479601 + 32488620516 = 280199^2 + 180246^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000100117 - 2²⁷ = 110865882389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111000100097 and 111000100106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000100157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500050058 + 55500050059.

It is an arithmetic number, because the mean of its divisors is an integer number (55500050059).

Almost surely, 2^111000100117 is an apocalyptic number.

It is an amenable number.

111000100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000100117 is an equidigital number, since it uses as much as digits as its factorization.

111000100117 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.

Adding to 111000100117 its reverse (711001000111), we get a palindrome (822001100228).

The spelling of 111000100117 in words is "one hundred eleven billion, one hundred thousand, one hundred seventeen".