11101111117 has 2 divisors, whose sum is σ = 11101111118. Its totient is φ = 11101111116.

The previous prime is 11101111093. The next prime is 11101111127. The reversal of 11101111117 is 71111110111.

11101111117 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., 11096726281 + 4384836 = 105341^2 + 2094^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101111117 - 2¹⁵ = 11101078349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11101111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101111127) 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, 5550555558 + 5550555559.

It is an arithmetic number, because the mean of its divisors is an integer number (5550555559).

Almost surely, 2^11101111117 is an apocalyptic number.

It is an amenable number.

11101111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101111117 is an equidigital number, since it uses as much as digits as its factorization.

11101111117 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 11101111117 its reverse (71111110111), we get a palindrome (82212221228).

The spelling of 11101111117 in words is "eleven billion, one hundred one million, one hundred eleven thousand, one hundred seventeen".