2001100200011 has 16 divisors (see below), whose sum is σ = 2229075605088. Its totient is φ = 1781164800000.

The previous prime is 2001100199977. The next prime is 2001100200049. The reversal of 2001100200011 is 1100020011002.

It is a cyclic number.

It is not a de Polignac number, because 2001100200011 - 2⁶ = 2001100199947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001100200311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8984990 + ... + 9205011.

It is an arithmetic number, because the mean of its divisors is an integer number (139317225318).

Almost surely, 2^{2001100200011} is an apocalyptic number.

2001100200011 is a deficient number, since it is larger than the sum of its proper divisors (227975405077).

2001100200011 is a wasteful number, since it uses less digits than its factorization.

2001100200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18190222.

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

Adding to 2001100200011 its reverse (1100020011002), we get a palindrome (3101120211013).

The spelling of 2001100200011 in words is "two trillion, one billion, one hundred million, two hundred thousand, eleven".