1002002099993 has 2 divisors, whose sum is σ = 1002002099994. Its totient is φ = 1002002099992.

The previous prime is 1002002099981. The next prime is 1002002100091. The reversal of 1002002099993 is 3999902002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 827304850969 + 174697249024 = 909563^2 + 417968^2 .

It is an emirp because it is prime and its reverse (3999902002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002002099993 - 2³⁴ = 984822230809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002002093993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501001049996 + 501001049997.

It is an arithmetic number, because the mean of its divisors is an integer number (501001049997).

Almost surely, 2^{1002002099993} is an apocalyptic number.

It is an amenable number.

1002002099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002002099993 is an equidigital number, since it uses as much as digits as its factorization.

1002002099993 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 44.

The spelling of 1002002099993 in words is "one trillion, two billion, two million, ninety-nine thousand, nine hundred ninety-three".