111110101000117 has 2 divisors, whose sum is σ = 111110101000118. Its totient is φ = 111110101000116.

The previous prime is 111110101000049. The next prime is 111110101000133. The reversal of 111110101000117 is 711000101011111.

It is an a-pointer prime, because the next prime (111110101000133) can be obtained adding 111110101000117 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82166411155761 + 28943689844356 = 9064569^2 + 5379934^2 .

It is an emirp because it is prime and its reverse (711000101011111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111110101000117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111110101000117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111110101000147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555050500058 + 55555050500059.

It is an arithmetic number, because the mean of its divisors is an integer number (55555050500059).

Almost surely, 2^{111110101000117} is an apocalyptic number.

It is an amenable number.

111110101000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110101000117 is an equidigital number, since it uses as much as digits as its factorization.

111110101000117 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 111110101000117 its reverse (711000101011111), we get a palindrome (822110202011228).

The spelling of 111110101000117 in words is "one hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred seventeen", and thus it is an aban number.