2001101011011 has 6 divisors (see below), whose sum is σ = 2890479238140. Its totient is φ = 1334067340668.

The previous prime is 2001101010967. The next prime is 2001101011057. The reversal of 2001101011011 is 1101101011002.

It is not a de Polignac number, because 2001101011011 - 2³⁷ = 1863662057539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222344556779 = 2001101011011 / (2 + 0 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2001101010984 and 2001101011002.

It is not an unprimeable number, because it can be changed into a prime (2001101011081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111172278381 + ... + 111172278398.

It is an arithmetic number, because the mean of its divisors is an integer number (481746539690).

Almost surely, 2^{2001101011011} is an apocalyptic number.

2001101011011 is a deficient number, since it is larger than the sum of its proper divisors (889378227129).

2001101011011 is a wasteful number, since it uses less digits than its factorization.

2001101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222344556785 (or 222344556782 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2001101011011 its reverse (1101101011002), we get a palindrome (3102202022013).

Subtracting from 2001101011011 its reverse (1101101011002), we obtain a palindrome (900000000009).

It can be divided in two parts, 200110 and 1011011, that added together give a palindrome (1211121).

The spelling of 2001101011011 in words is "two trillion, one billion, one hundred one million, eleven thousand, eleven".