112400440311101 has 2 divisors, whose sum is σ = 112400440311102. Its totient is φ = 112400440311100.

The previous prime is 112400440311083. The next prime is 112400440311119. The reversal of 112400440311101 is 101113044004211.

It is a balanced prime because it is at equal distance from previous prime (112400440311083) and next prime (112400440311119).

It can be written as a sum of positive squares in only one way, i.e., 78104764536100 + 34295675775001 = 8837690^2 + 5856251^2 .

It is a cyclic number.

It is not a de Polignac number, because 112400440311101 - 2¹⁰ = 112400440310077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112400440311121) 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, 56200220155550 + 56200220155551.

It is an arithmetic number, because the mean of its divisors is an integer number (56200220155551).

Almost surely, 2^{112400440311101} is an apocalyptic number.

It is an amenable number.

112400440311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112400440311101 is an equidigital number, since it uses as much as digits as its factorization.

112400440311101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 112400440311101 its reverse (101113044004211), we get a palindrome (213513484315312).

The spelling of 112400440311101 in words is "one hundred twelve trillion, four hundred billion, four hundred forty million, three hundred eleven thousand, one hundred one".