2001100020011 has 8 divisors (see below), whose sum is σ = 2118918028464. Its totient is φ = 1883293816320.

The previous prime is 2001100019983. The next prime is 2001100020097. The reversal of 2001100020011 is 1100200011002.

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 2001100020011 - 2¹⁰ = 2001100018987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001100020211) 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 7 ways as a sum of consecutive naturals, for example, 2600990 + ... + 3281363.

It is an arithmetic number, because the mean of its divisors is an integer number (264864753558).

Almost surely, 2^{2001100020011} is an apocalyptic number.

2001100020011 is a deficient number, since it is larger than the sum of its proper divisors (117818008453).

2001100020011 is a wasteful number, since it uses less digits than its factorization.

2001100020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902381.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001100020011 its reverse (1100200011002), we get a palindrome (3101300031013).

Subtracting from 2001100020011 its reverse (1100200011002), we obtain a palindrome (900900009009).

The spelling of 2001100020011 in words is "two trillion, one billion, one hundred million, twenty thousand, eleven".