10002001993 has 2 divisors, whose sum is σ = 10002001994. Its totient is φ = 10002001992.

The previous prime is 10002001987. The next prime is 10002002051. The reversal of 10002001993 is 39910020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9798426169 + 203575824 = 98987^2 + 14268^2 .

It is an emirp because it is prime and its reverse (39910020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002001993 - 2²⁵ = 9968447561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002004993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000996 + 5001000997.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000997).

Almost surely, 2^10002001993 is an apocalyptic number.

It is an amenable number.

10002001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002001993 is an equidigital number, since it uses as much as digits as its factorization.

10002001993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 10002001993 its reverse (39910020001), we get a palindrome (49912021994).

The spelling of 10002001993 in words is "ten billion, two million, one thousand, nine hundred ninety-three".