112111000111001 has 2 divisors, whose sum is σ = 112111000111002. Its totient is φ = 112111000111000.

The previous prime is 112111000110983. The next prime is 112111000111007. The reversal of 112111000111001 is 100111000111211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71194764414601 + 40916235696400 = 8437699^2 + 6396580^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111000111001 - 2³⁴ = 112093820241817 is a prime.

It is not a weakly prime, because it can be changed into another prime (112111000111007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055500055500 + 56055500055501.

It is an arithmetic number, because the mean of its divisors is an integer number (56055500055501).

Almost surely, 2^{112111000111001} is an apocalyptic number.

It is an amenable number.

112111000111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111000111001 is an equidigital number, since it uses as much as digits as its factorization.

112111000111001 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 11.

Adding to 112111000111001 its reverse (100111000111211), we get a palindrome (212222000222212).

The spelling of 112111000111001 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred eleven thousand, one".