112112111081 has 2 divisors, whose sum is σ = 112112111082. Its totient is φ = 112112111080.

The previous prime is 112112111021. The next prime is 112112111123. The reversal of 112112111081 is 180111211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108738360025 + 3373751056 = 329755^2 + 58084^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112111081 - 2⁶ = 112112111017 is a prime.

It is a super-3 number, since 3×112112111081³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (112112111011) 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, 56056055540 + 56056055541.

It is an arithmetic number, because the mean of its divisors is an integer number (56056055541).

Almost surely, 2^112112111081 is an apocalyptic number.

It is an amenable number.

112112111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112111081 is an equidigital number, since it uses as much as digits as its factorization.

112112111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 112112111081 its reverse (180111211211), we get a palindrome (292223322292).

The spelling of 112112111081 in words is "one hundred twelve billion, one hundred twelve million, one hundred eleven thousand, eighty-one".