2011091110011 has 12 divisors (see below), whose sum is σ = 2904926866192. Its totient is φ = 1340719336656.

The previous prime is 2011091110009. The next prime is 2011091110027. The reversal of 2011091110011 is 1100111901102.

It is not a de Polignac number, because 2011091110011 - 2¹ = 2011091110009 is a prime.

It is a super-2 number, since 2×2011091110011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011091110111) 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 11 ways as a sum of consecutive naturals, for example, 1172085 + ... + 2322921.

Almost surely, 2^{2011091110011} is an apocalyptic number.

2011091110011 is a deficient number, since it is larger than the sum of its proper divisors (893835756181).

2011091110011 is a wasteful number, since it uses less digits than its factorization.

2011091110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345010 (or 1345007 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 2011091110011 in words is "two trillion, eleven billion, ninety-one million, one hundred ten thousand, eleven".