10002002002093 has 8 divisors (see below), whose sum is σ = 10103544204696. Its totient is φ = 9900509064000.

The previous prime is 10002002002087. The next prime is 10002002002147. The reversal of 10002002002093 is 39020020020001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1783992978244 + 8218009023849 = 1335662^2 + 2866707^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002002002093 - 2¹³ = 10002001993901 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002002002093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002002002043) 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 in 7 ways as a sum of consecutive naturals, for example, 11907946 + ... + 12720187.

It is an arithmetic number, because the mean of its divisors is an integer number (1262943025587).

Almost surely, 2^{10002002002093} is an apocalyptic number.

It is an amenable number.

10002002002093 is a deficient number, since it is larger than the sum of its proper divisors (101542202603).

10002002002093 is a wasteful number, since it uses less digits than its factorization.

10002002002093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24632255.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10002002002093 its reverse (39020020020001), we get a palindrome (49022022022094).

The spelling of 10002002002093 in words is "ten trillion, two billion, two million, two thousand, ninety-three".