112122101222081 has 2 divisors, whose sum is σ = 112122101222082. Its totient is φ = 112122101222080.

The previous prime is 112122101222041. The next prime is 112122101222113. The reversal of 112122101222081 is 180222101221211.

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., 94890802098481 + 17231299123600 = 9741191^2 + 4151060^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122101222081 - 2²² = 112122097027777 is a prime.

It is a super-2 number, since 2×112122101222081² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112122101222081.

It is not a weakly prime, because it can be changed into another prime (112122101222041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061050611040 + 56061050611041.

It is an arithmetic number, because the mean of its divisors is an integer number (56061050611041).

Almost surely, 2^{112122101222081} is an apocalyptic number.

It is an amenable number.

112122101222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122101222081 is an equidigital number, since it uses as much as digits as its factorization.

112122101222081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 26.

Adding to 112122101222081 its reverse (180222101221211), we get a palindrome (292344202443292).

The spelling of 112122101222081 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, eighty-one".