2112002120993 has 2 divisors, whose sum is σ = 2112002120994. Its totient is φ = 2112002120992.

The previous prime is 2112002120951. The next prime is 2112002121017. The reversal of 2112002120993 is 3990212002112.

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., 1951114493329 + 160887627664 = 1396823^2 + 401108^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112002120993 - 2²⁴ = 2111985343777 is a prime.

It is a super-2 number, since 2×2112002120993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112002180993) 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, 1056001060496 + 1056001060497.

It is an arithmetic number, because the mean of its divisors is an integer number (1056001060497).

Almost surely, 2^{2112002120993} is an apocalyptic number.

It is an amenable number.

2112002120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112002120993 is an equidigital number, since it uses as much as digits as its factorization.

2112002120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 2112002120993 in words is "two trillion, one hundred twelve billion, two million, one hundred twenty thousand, nine hundred ninety-three".