10002002002113 has 32 divisors (see below), whose sum is σ = 14595265843200. Its totient is φ = 6042280669760.

The previous prime is 10002002002087. The next prime is 10002002002147. The reversal of 10002002002113 is 31120020020001.

It is a cyclic number.

It is not a de Polignac number, because 10002002002113 - 2²⁰ = 10002000953537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002002002163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225925006 + ... + 225969272.

It is an arithmetic number, because the mean of its divisors is an integer number (456102057600).

Almost surely, 2^{10002002002113} is an apocalyptic number.

It is an amenable number.

10002002002113 is a deficient number, since it is larger than the sum of its proper divisors (4593263841087).

10002002002113 is a wasteful number, since it uses less digits than its factorization.

10002002002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66197.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10002002002113 its reverse (31120020020001), we get a palindrome (41122022022114).

The spelling of 10002002002113 in words is "ten trillion, two billion, two million, two thousand, one hundred thirteen".