112201221332209 has 2 divisors, whose sum is σ = 112201221332210. Its totient is φ = 112201221332208.

The previous prime is 112201221332191. The next prime is 112201221332267. The reversal of 112201221332209 is 902233122102211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110279401960000 + 1921819372209 = 10501400^2 + 1386297^2 .

It is an emirp because it is prime and its reverse (902233122102211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112201221332209 - 2⁵ = 112201221332177 is a prime.

It is a super-2 number, since 2×112201221332209² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112201221332009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100610666104 + 56100610666105.

It is an arithmetic number, because the mean of its divisors is an integer number (56100610666105).

Almost surely, 2^{112201221332209} is an apocalyptic number.

It is an amenable number.

112201221332209 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201221332209 is an equidigital number, since it uses as much as digits as its factorization.

112201221332209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 112201221332209 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred nine".