111100100101117 has 2 divisors, whose sum is σ = 111100100101118. Its totient is φ = 111100100101116.

The previous prime is 111100100101073. The next prime is 111100100101139. The reversal of 111100100101117 is 711101001001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100652039437401 + 10448060663716 = 10032549^2 + 3232346^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100100101117 - 2⁷ = 111100100100989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111100100101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100100101187) 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, 55550050050558 + 55550050050559.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050050559).

Almost surely, 2^{111100100101117} is an apocalyptic number.

It is an amenable number.

111100100101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100100101117 is an equidigital number, since it uses as much as digits as its factorization.

111100100101117 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 111100100101117 its reverse (711101001001111), we get a palindrome (822201101102228).

The spelling of 111100100101117 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred one thousand, one hundred seventeen".