10102004039993 has 2 divisors, whose sum is σ = 10102004039994. Its totient is φ = 10102004039992.

The previous prime is 10102004039977. The next prime is 10102004040017. The reversal of 10102004039993 is 39993040020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10045622487289 + 56381552704 = 3169483^2 + 237448^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102004039993 - 2⁴ = 10102004039977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102004039993.

It is not a weakly prime, because it can be changed into another prime (10102004039093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051002019996 + 5051002019997.

It is an arithmetic number, because the mean of its divisors is an integer number (5051002019997).

Almost surely, 2^{10102004039993} is an apocalyptic number.

It is an amenable number.

10102004039993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102004039993 is an equidigital number, since it uses as much as digits as its factorization.

10102004039993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 10102004039993 in words is "ten trillion, one hundred two billion, four million, thirty-nine thousand, nine hundred ninety-three".