111102100117 has 2 divisors, whose sum is σ = 111102100118. Its totient is φ = 111102100116.

The previous prime is 111102100049. The next prime is 111102100141. The reversal of 111102100117 is 711001201111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100386951921 + 10715148196 = 316839^2 + 103514^2 .

It is an emirp because it is prime and its reverse (711001201111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111102100117 - 2¹⁹ = 111101575829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111102100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111102100517) 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, 55551050058 + 55551050059.

It is an arithmetic number, because the mean of its divisors is an integer number (55551050059).

Almost surely, 2^111102100117 is an apocalyptic number.

It is an amenable number.

111102100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111102100117 is an equidigital number, since it uses as much as digits as its factorization.

111102100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 111102100117 its reverse (711001201111), we get a palindrome (822103301228).

The spelling of 111102100117 in words is "one hundred eleven billion, one hundred two million, one hundred thousand, one hundred seventeen".