2122112009993 has 2 divisors, whose sum is σ = 2122112009994. Its totient is φ = 2122112009992.

The previous prime is 2122112009989. The next prime is 2122112010019. The reversal of 2122112009993 is 3999002112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085736747264 + 36375262729 = 1444208^2 + 190723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122112009993 - 2² = 2122112009989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122112009993.

It is not a weakly prime, because it can be changed into another prime (2122112009593) 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, 1061056004996 + 1061056004997.

It is an arithmetic number, because the mean of its divisors is an integer number (1061056004997).

Almost surely, 2^{2122112009993} is an apocalyptic number.

It is an amenable number.

2122112009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122112009993 is an equidigital number, since it uses as much as digits as its factorization.

2122112009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 2122112009993 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, nine thousand, nine hundred ninety-three".