112000111111181 has 2 divisors, whose sum is σ = 112000111111182. Its totient is φ = 112000111111180.

The previous prime is 112000111111177. The next prime is 112000111111243. The reversal of 112000111111181 is 181111111000211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60747527164900 + 51252583946281 = 7794070^2 + 7159091^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000111111181 - 2² = 112000111111177 is a prime.

It is a super-2 number, since 2×112000111111181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112000111111151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000055555590 + 56000055555591.

It is an arithmetic number, because the mean of its divisors is an integer number (56000055555591).

Almost surely, 2^{112000111111181} is an apocalyptic number.

It is an amenable number.

112000111111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000111111181 is an equidigital number, since it uses as much as digits as its factorization.

112000111111181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 20.

Adding to 112000111111181 its reverse (181111111000211), we get a palindrome (293111222111392).

The spelling of 112000111111181 in words is "one hundred twelve trillion, one hundred eleven million, one hundred eleven thousand, one hundred eighty-one".