10000100010011 has 8 divisors (see below), whose sum is σ = 10442068617120. Its totient is φ = 9558729873792.

The previous prime is 10000100009989. The next prime is 10000100010023. The reversal of 10000100010011 is 11001000100001.

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 10000100010011 - 2⁶ = 10000100009947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000100009977 and 10000100010004.

It is not an unprimeable number, because it can be changed into a prime (10000100010311) 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 7 ways as a sum of consecutive naturals, for example, 149583566 + ... + 149650403.

It is an arithmetic number, because the mean of its divisors is an integer number (1305258577140).

Almost surely, 2^{10000100010011} is an apocalyptic number.

10000100010011 is a deficient number, since it is larger than the sum of its proper divisors (441968607109).

10000100010011 is a wasteful number, since it uses less digits than its factorization.

10000100010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299235445.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000100010011 its reverse (11001000100001), we get a palindrome (21001100110012).

The spelling of 10000100010011 in words is "ten trillion, one hundred million, ten thousand, eleven".