112212001222081 has 2 divisors, whose sum is σ = 112212001222082. Its totient is φ = 112212001222080.

The previous prime is 112212001221997. The next prime is 112212001222121. The reversal of 112212001222081 is 180222100212211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99792607640625 + 12419393581456 = 9989625^2 + 3524116^2 .

It is a cyclic number.

It is not a de Polignac number, because 112212001222081 - 2¹⁹ = 112212000697793 is a prime.

It is a super-2 number, since 2×112212001222081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112212001222381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56106000611040 + 56106000611041.

It is an arithmetic number, because the mean of its divisors is an integer number (56106000611041).

Almost surely, 2^{112212001222081} is an apocalyptic number.

It is an amenable number.

112212001222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

112212001222081 is an equidigital number, since it uses as much as digits as its factorization.

112212001222081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 112212001222081 its reverse (180222100212211), we get a palindrome (292434101434292).

The spelling of 112212001222081 in words is "one hundred twelve trillion, two hundred twelve billion, one million, two hundred twenty-two thousand, eighty-one".