111012311117 has 2 divisors, whose sum is σ = 111012311118. Its totient is φ = 111012311116.

The previous prime is 111012310979. The next prime is 111012311119. The reversal of 111012311117 is 711113210111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110477129161 + 535181956 = 332381^2 + 23134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111012311117 is a prime.

Together with 111012311119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111012311119) 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, 55506155558 + 55506155559.

It is an arithmetic number, because the mean of its divisors is an integer number (55506155559).

Almost surely, 2^111012311117 is an apocalyptic number.

It is an amenable number.

111012311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012311117 is an equidigital number, since it uses as much as digits as its factorization.

111012311117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 111012311117 its reverse (711113210111), we get a palindrome (822125521228).

The spelling of 111012311117 in words is "one hundred eleven billion, twelve million, three hundred eleven thousand, one hundred seventeen".