11011001111111 has 16 divisors (see below), whose sum is σ = 11618323046400. Its totient is φ = 10406463009408.

The previous prime is 11011001111093. The next prime is 11011001111141. The reversal of 11011001111111 is 11111110011011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11011001111111 is a prime.

It is a Duffinian number.

11011001111111 is a modest number, since divided by 1111111 gives 1101100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11011001111092 and 11011001111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001111141) 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, 104092730 + ... + 104198456.

It is an arithmetic number, because the mean of its divisors is an integer number (726145190400).

Almost surely, 2^{11011001111111} is an apocalyptic number.

11011001111111 is a deficient number, since it is larger than the sum of its proper divisors (607321935289).

11011001111111 is a wasteful number, since it uses less digits than its factorization.

11011001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118838.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11011001111111 its reverse (11111110011011), we get a palindrome (22122111122122).

The spelling of 11011001111111 in words is "eleven trillion, eleven billion, one million, one hundred eleven thousand, one hundred eleven".