10002110210993 has 2 divisors, whose sum is σ = 10002110210994. Its totient is φ = 10002110210992.

The previous prime is 10002110210959. The next prime is 10002110211001. The reversal of 10002110210993 is 39901201120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8150613885184 + 1851496325809 = 2854928^2 + 1360697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002110210993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002110210693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055105496 + 5001055105497.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055105497).

Almost surely, 2^{10002110210993} is an apocalyptic number.

It is an amenable number.

10002110210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002110210993 is an equidigital number, since it uses as much as digits as its factorization.

10002110210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

Adding to 10002110210993 its reverse (39901201120001), we get a palindrome (49903311330994).

The spelling of 10002110210993 in words is "ten trillion, two billion, one hundred ten million, two hundred ten thousand, nine hundred ninety-three".