2112171685823 has 2 divisors, whose sum is σ = 2112171685824. Its totient is φ = 2112171685822.

The previous prime is 2112171685783. The next prime is 2112171685829. The reversal of 2112171685823 is 3285861712112.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2112171685823 - 2⁸ = 2112171685567 is a prime.

It is a super-3 number, since 3×2112171685823³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112171685829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056085842911 + 1056085842912.

It is an arithmetic number, because the mean of its divisors is an integer number (1056085842912).

Almost surely, 2^{2112171685823} is an apocalyptic number.

2112171685823 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112171685823 is an equidigital number, since it uses as much as digits as its factorization.

2112171685823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 47.

The spelling of 2112171685823 in words is "two trillion, one hundred twelve billion, one hundred seventy-one million, six hundred eighty-five thousand, eight hundred twenty-three".