2112112001873 has 2 divisors, whose sum is σ = 2112112001874. Its totient is φ = 2112112001872.

The previous prime is 2112112001807. The next prime is 2112112001893. The reversal of 2112112001873 is 3781002112112.

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., 1428328546129 + 683783455744 = 1195127^2 + 826912^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112001873 - 2³⁰ = 2111038260049 is a prime.

It is a super-2 number, since 2×2112112001873² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112112001893) 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, 1056056000936 + 1056056000937.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056000937).

Almost surely, 2^{2112112001873} is an apocalyptic number.

It is an amenable number.

2112112001873 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112112001873 is an equidigital number, since it uses as much as digits as its factorization.

2112112001873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

Adding to 2112112001873 its reverse (3781002112112), we get a palindrome (5893114113985).

The spelling of 2112112001873 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one thousand, eight hundred seventy-three".