11001111111 has 48 divisors (see below), whose sum is σ = 17441386560. Its totient is φ = 6650864640.

The previous prime is 11001111101. The next prime is 11001111119. The reversal of 11001111111 is 11111110011.

It is not a de Polignac number, because 11001111111 - 2⁷ = 11001110983 is a prime.

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

11001111111 is a modest number, since divided by 111111 gives 11001 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11001111093 and 11001111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111119) 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 47 ways as a sum of consecutive naturals, for example, 2398126 + ... + 2402708.

It is an arithmetic number, because the mean of its divisors is an integer number (363362220).

Almost surely, 2^11001111111 is an apocalyptic number.

11001111111 is a deficient number, since it is larger than the sum of its proper divisors (6440275449).

11001111111 is a wasteful number, since it uses less digits than its factorization.

11001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001111111 its reverse (11111110011), we get a palindrome (22112221122).

It can be divided in two parts, 110011 and 11111, that multiplied together give a palindrome (1222332221).

The spelling of 11001111111 in words is "eleven billion, one million, one hundred eleven thousand, one hundred eleven".