2011011111 has 8 divisors (see below), whose sum is σ = 2979275760. Its totient is φ = 1340674056.

The previous prime is 2011011109. The next prime is 2011011133. The reversal of 2011011111 is 1111101102.

It is not a de Polignac number, because 2011011111 - 2¹ = 2011011109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011011093 and 2011011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37240920 + ... + 37240973.

It is an arithmetic number, because the mean of its divisors is an integer number (372409470).

Almost surely, 2^2011011111 is an apocalyptic number.

2011011111 is a deficient number, since it is larger than the sum of its proper divisors (968264649).

2011011111 is an equidigital number, since it uses as much as digits as its factorization.

2011011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74481902 (or 74481896 counting only the distinct ones).

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

The square root of 2011011111 is about 44844.2985339274. The cubic root of 2011011111 is about 1262.2290079542.

Adding to 2011011111 its reverse (1111101102), we get a palindrome (3122112213).

The spelling of 2011011111 in words is "two billion, eleven million, eleven thousand, one hundred eleven".