2210002010113 has 8 divisors (see below), whose sum is σ = 2281315725056. Its totient is φ = 2138689753200.

The previous prime is 2210002010087. The next prime is 2210002010129. The reversal of 2210002010113 is 3110102000122.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2210002010113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2210002010093 and 2210002010102.

It is not an unprimeable number, because it can be changed into a prime (2210002610113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3301195 + ... + 3913807.

It is an arithmetic number, because the mean of its divisors is an integer number (285164465632).

Almost surely, 2^{2210002010113} is an apocalyptic number.

It is an amenable number.

2210002010113 is a deficient number, since it is larger than the sum of its proper divisors (71313714943).

2210002010113 is a wasteful number, since it uses less digits than its factorization.

2210002010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729015.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2210002010113 its reverse (3110102000122), we get a palindrome (5320104010235).

Subtracting 2210002010113 from its reverse (3110102000122), we obtain a palindrome (900099990009).

The spelling of 2210002010113 in words is "two trillion, two hundred ten billion, two million, ten thousand, one hundred thirteen".