2011000000111 has 16 divisors (see below), whose sum is σ = 2151687462400. Its totient is φ = 1873939313088.

The previous prime is 2011000000103. The next prime is 2011000000123. The reversal of 2011000000111 is 1110000001102.

It is a cyclic number.

It is not a de Polignac number, because 2011000000111 - 2³ = 2011000000103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011000000094 and 2011000000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000100111) 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 15 ways as a sum of consecutive naturals, for example, 1466301 + ... + 2484358.

It is an arithmetic number, because the mean of its divisors is an integer number (134480466400).

Almost surely, 2^{2011000000111} is an apocalyptic number.

2011000000111 is a deficient number, since it is larger than the sum of its proper divisors (140687462289).

2011000000111 is a wasteful number, since it uses less digits than its factorization.

2011000000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951118.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2011000000111 its reverse (1110000001102), we get a palindrome (3121000001213).

Subtracting from 2011000000111 its reverse (1110000001102), we obtain a palindrome (900999999009).

The spelling of 2011000000111 in words is "two trillion, eleven billion, one hundred eleven", and thus it is an aban number.