112000111101001 has 2 divisors, whose sum is σ = 112000111101002. Its totient is φ = 112000111101000.

The previous prime is 112000111100989. The next prime is 112000111101017. The reversal of 112000111101001 is 100101111000211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92109626085376 + 19890485015625 = 9597376^2 + 4459875^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000111101001 - 2³³ = 111991521166409 is a prime.

It is not a weakly prime, because it can be changed into another prime (112000111101031) 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, 56000055550500 + 56000055550501.

It is an arithmetic number, because the mean of its divisors is an integer number (56000055550501).

Almost surely, 2^{112000111101001} is an apocalyptic number.

It is an amenable number.

112000111101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000111101001 is an equidigital number, since it uses as much as digits as its factorization.

112000111101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 112000111101001 its reverse (100101111000211), we get a palindrome (212101222101212).

The spelling of 112000111101001 in words is "one hundred twelve trillion, one hundred eleven million, one hundred one thousand, one".