2112112121999 has 16 divisors (see below), whose sum is σ = 2333947806720. Its totient is φ = 1895261091360.

The previous prime is 2112112121971. The next prime is 2112112122013. The reversal of 2112112121999 is 9991212112112.

It is a cyclic number.

It is not a de Polignac number, because 2112112121999 - 2²⁴ = 2112095344783 is a prime.

It is a super-2 number, since 2×2112112121999² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112121939) 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 in 15 ways as a sum of consecutive naturals, for example, 2749382 + ... + 3432684.

It is an arithmetic number, because the mean of its divisors is an integer number (145871737920).

Almost surely, 2^{2112112121999} is an apocalyptic number.

2112112121999 is a deficient number, since it is larger than the sum of its proper divisors (221835684721).

2112112121999 is a wasteful number, since it uses less digits than its factorization.

2112112121999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686950.

The product of its digits is 11664, while the sum is 41.

The spelling of 2112112121999 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, nine hundred ninety-nine".