2011120111011 has 16 divisors (see below), whose sum is σ = 2927470099968. Its totient is φ = 1217942138400.

The previous prime is 2011120111009. The next prime is 2011120111019. The reversal of 2011120111011 is 1101110211102.

It is not a de Polignac number, because 2011120111011 - 2¹ = 2011120111009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2011120111019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22918920 + ... + 23006501.

It is an arithmetic number, because the mean of its divisors is an integer number (182966881248).

Almost surely, 2^{2011120111011} is an apocalyptic number.

2011120111011 is a deficient number, since it is larger than the sum of its proper divisors (916349988957).

2011120111011 is a wasteful number, since it uses less digits than its factorization.

2011120111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45926762.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011120111011 its reverse (1101110211102), we get a palindrome (3112230322113).

The spelling of 2011120111011 in words is "two trillion, eleven billion, one hundred twenty million, one hundred eleven thousand, eleven".