11011111111 has 16 divisors (see below), whose sum is σ = 14784150528. Its totient is φ = 7920079200.

The previous prime is 11011111051. The next prime is 11011111117. The reversal of 11011111111 is 11111111011.

It is a happy number.

It is not a de Polignac number, because 11011111111 - 2⁹ = 11011110599 is a prime.

11011111111 is a modest number, since divided by 111111 gives 11011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5499055 + ... + 5501056.

It is an arithmetic number, because the mean of its divisors is an integer number (924009408).

Almost surely, 2^11011111111 is an apocalyptic number.

11011111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011111111 is a deficient number, since it is larger than the sum of its proper divisors (3773039417).

11011111111 is a wasteful number, since it uses less digits than its factorization.

11011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000142.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11011111111 its reverse (11111111011), we get a palindrome (22122222122).

It can be divided in two parts, 11011 and 111111, that multiplied together give a palindrome (1223443221).

The spelling of 11011111111 in words is "eleven billion, eleven million, one hundred eleven thousand, one hundred eleven".