2002000099993 has 2 divisors, whose sum is σ = 2002000099994. Its totient is φ = 2002000099992.

The previous prime is 2002000099987. The next prime is 2002000099999. The reversal of 2002000099993 is 3999900002002.

It is a balanced prime because it is at equal distance from previous prime (2002000099987) and next prime (2002000099999).

It can be written as a sum of positive squares in only one way, i.e., 1587531960729 + 414468139264 = 1259973^2 + 643792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002000099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002000099999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000049996 + 1001000049997.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000049997).

Almost surely, 2^{2002000099993} is an apocalyptic number.

It is an amenable number.

2002000099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000099993 is an equidigital number, since it uses as much as digits as its factorization.

2002000099993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78732, while the sum is 43.

The spelling of 2002000099993 in words is "two trillion, two billion, ninety-nine thousand, nine hundred ninety-three".