112442400401 has 2 divisors, whose sum is σ = 112442400402. Its totient is φ = 112442400400.

The previous prime is 112442400377. The next prime is 112442400419. The reversal of 112442400401 is 104004244211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85954512400 + 26487888001 = 293180^2 + 162751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112442400401 is a prime.

It is not a weakly prime, because it can be changed into another prime (112442400481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56221200200 + 56221200201.

It is an arithmetic number, because the mean of its divisors is an integer number (56221200201).

Almost surely, 2^112442400401 is an apocalyptic number.

It is an amenable number.

112442400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

112442400401 is an equidigital number, since it uses as much as digits as its factorization.

112442400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 112442400401 its reverse (104004244211), we get a palindrome (216446644612).

The spelling of 112442400401 in words is "one hundred twelve billion, four hundred forty-two million, four hundred thousand, four hundred one".