2001100000011 has 32 divisors (see below), whose sum is σ = 3078263139840. Its totient is φ = 1132672475136.

The previous prime is 2001100000001. The next prime is 2001100000043. The reversal of 2001100000011 is 1100000011002.

It is not a de Polignac number, because 2001100000011 - 2²⁵ = 2001066445579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001100000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69636 + ... + 2001761.

It is an arithmetic number, because the mean of its divisors is an integer number (96195723120).

Almost surely, 2^{2001100000011} is an apocalyptic number.

2001100000011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001100000011 is a deficient number, since it is larger than the sum of its proper divisors (1077163139829).

2001100000011 is a wasteful number, since it uses less digits than its factorization.

2001100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071843.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2001100000011 its reverse (1100000011002), we get a palindrome (3101100011013).

The spelling of 2001100000011 in words is "two trillion, one billion, one hundred million, eleven", and thus it is an aban number.