112312220201 has 2 divisors, whose sum is σ = 112312220202. Its totient is φ = 112312220200.

The previous prime is 112312220089. The next prime is 112312220203. The reversal of 112312220201 is 102022213211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112034131225 + 278088976 = 334715^2 + 16676^2 .

It is a cyclic number.

It is not a de Polignac number, because 112312220201 - 2²² = 112308025897 is a prime.

It is a super-2 number, since 2×112312220201² (a number of 23 digits) contains 22 as substring.

Together with 112312220203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112312220201.

It is not a weakly prime, because it can be changed into another prime (112312220203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156110100 + 56156110101.

It is an arithmetic number, because the mean of its divisors is an integer number (56156110101).

Almost surely, 2^112312220201 is an apocalyptic number.

It is an amenable number.

112312220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112312220201 is an equidigital number, since it uses as much as digits as its factorization.

112312220201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 112312220201 its reverse (102022213211), we get a palindrome (214334433412).

The spelling of 112312220201 in words is "one hundred twelve billion, three hundred twelve million, two hundred twenty thousand, two hundred one".