2002120010993 has 2 divisors, whose sum is σ = 2002120010994. Its totient is φ = 2002120010992.

The previous prime is 2002120010987. The next prime is 2002120011011. The reversal of 2002120010993 is 3990100212002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1906034270464 + 96085740529 = 1380592^2 + 309977^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002120010993 - 2²⁴ = 2002103233777 is a prime.

It is a super-2 number, since 2×2002120010993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002120010953) 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, 1001060005496 + 1001060005497.

It is an arithmetic number, because the mean of its divisors is an integer number (1001060005497).

Almost surely, 2^{2002120010993} is an apocalyptic number.

It is an amenable number.

2002120010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002120010993 is an equidigital number, since it uses as much as digits as its factorization.

2002120010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 2002120010993 its reverse (3990100212002), we get a palindrome (5992220222995).

The spelling of 2002120010993 in words is "two trillion, two billion, one hundred twenty million, ten thousand, nine hundred ninety-three".