2011110111011 has 16 divisors (see below), whose sum is σ = 2026506081600. Its totient is φ = 1995783006720.

The previous prime is 2011110110981. The next prime is 2011110111037. The reversal of 2011110111011 is 1101110111102.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011110111011 is a prime.

It is a super-2 number, since 2×2011110111011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011110110983 and 2011110111001.

It is not an unprimeable number, because it can be changed into a prime (2011110111071) 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, 89177165 + ... + 89199713.

It is an arithmetic number, because the mean of its divisors is an integer number (126656630100).

Almost surely, 2^{2011110111011} is an apocalyptic number.

2011110111011 is a deficient number, since it is larger than the sum of its proper divisors (15395970589).

2011110111011 is a wasteful number, since it uses less digits than its factorization.

2011110111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24046.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2011110111011 its reverse (1101110111102), we get a palindrome (3112220222113).

Subtracting from 2011110111011 its reverse (1101110111102), we obtain a palindrome (909999999909).

The spelling of 2011110111011 in words is "two trillion, eleven billion, one hundred ten million, one hundred eleven thousand, eleven".