10002102193 has 2 divisors, whose sum is σ = 10002102194. Its totient is φ = 10002102192.

The previous prime is 10002102181. The next prime is 10002102211. The reversal of 10002102193 is 39120120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9981608464 + 20493729 = 99908^2 + 4527^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002102193 - 2²⁵ = 9968547761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002102193.

It is not a weakly prime, because it can be changed into another prime (10002102163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051096 + 5001051097.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051097).

Almost surely, 2^10002102193 is an apocalyptic number.

It is an amenable number.

10002102193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102193 is an equidigital number, since it uses as much as digits as its factorization.

10002102193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10002102193 its reverse (39120120001), we get a palindrome (49122222194).

The spelling of 10002102193 in words is "ten billion, two million, one hundred two thousand, one hundred ninety-three".