1100001111011 has 16 divisors (see below), whose sum is σ = 1212065157888. Its totient is φ = 989954349600.

The previous prime is 1100001110987. The next prime is 1100001111029. The reversal of 1100001111011 is 1101111000011.

It is a cyclic number.

It is not a de Polignac number, because 1100001111011 - 2²⁶ = 1099934002147 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100001111011.

It is not an unprimeable number, because it can be changed into a prime (1100001111071) 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 15 ways as a sum of consecutive naturals, for example, 3186116 + ... + 3514446.

It is an arithmetic number, because the mean of its divisors is an integer number (75754072368).

Almost surely, 2^{1100001111011} is an apocalyptic number.

1100001111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100001111011 is a deficient number, since it is larger than the sum of its proper divisors (112064046877).

1100001111011 is a wasteful number, since it uses less digits than its factorization.

1100001111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331402.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1100001111011 its reverse (1101111000011), we get a palindrome (2201112111022).

It can be divided in two parts, 11000011 and 11011, that multiplied together give a palindrome (121121121121).

The spelling of 1100001111011 in words is "one trillion, one hundred billion, one million, one hundred eleven thousand, eleven".