112013100322181 has 2 divisors, whose sum is σ = 112013100322182. Its totient is φ = 112013100322180.

The previous prime is 112013100322177. The next prime is 112013100322183. The reversal of 112013100322181 is 181223001310211.

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., 92749419422500 + 19263680899681 = 9630650^2 + 4389041^2 .

It is a cyclic number.

It is not a de Polignac number, because 112013100322181 - 2² = 112013100322177 is a prime.

It is a super-2 number, since 2×112013100322181² (a number of 29 digits) contains 22 as substring.

Together with 112013100322183, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112013100322181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112013100322183) 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, 56006550161090 + 56006550161091.

It is an arithmetic number, because the mean of its divisors is an integer number (56006550161091).

Almost surely, 2^{112013100322181} is an apocalyptic number.

It is an amenable number.

112013100322181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112013100322181 is an equidigital number, since it uses as much as digits as its factorization.

112013100322181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 112013100322181 its reverse (181223001310211), we get a palindrome (293236101632392).

The spelling of 112013100322181 in words is "one hundred twelve trillion, thirteen billion, one hundred million, three hundred twenty-two thousand, one hundred eighty-one".