112201222222241 has 2 divisors, whose sum is σ = 112201222222242. Its totient is φ = 112201222222240.

The previous prime is 112201222222153. The next prime is 112201222222267. The reversal of 112201222222241 is 142222222102211.

It is an a-pointer prime, because the next prime (112201222222267) can be obtained adding 112201222222241 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108361958187025 + 3839264035216 = 10409705^2 + 1959404^2 .

It is a cyclic number.

It is not a de Polignac number, because 112201222222241 - 2²² = 112201218027937 is a prime.

It is a super-2 number, since 2×112201222222241² (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 112201222222241.

It is not a weakly prime, because it can be changed into another prime (112201222272241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100611111120 + 56100611111121.

It is an arithmetic number, because the mean of its divisors is an integer number (56100611111121).

Almost surely, 2^{112201222222241} is an apocalyptic number.

It is an amenable number.

112201222222241 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201222222241 is an equidigital number, since it uses as much as digits as its factorization.

112201222222241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 112201222222241 its reverse (142222222102211), we get a palindrome (254423444324452).

The spelling of 112201222222241 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred forty-one".