11000001100 has 54 divisors (see below), whose sum is σ = 26237304212. Its totient is φ = 3999996000.

The previous prime is 11000001071. The next prime is 11000001109. The reversal of 11000001100 is 110000011.

11000001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11000001100.

It is not an unprimeable number, because it can be changed into a prime (11000001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 442446 + ... + 466645.

Almost surely, 2^11000001100 is an apocalyptic number.

11000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000001100 is an abundant number, since it is smaller than the sum of its proper divisors (15237303112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000001100 is a wasteful number, since it uses less digits than its factorization.

11000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909127 (or 909109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11000001100 its reverse (110000011), we get a palindrome (11110001111).

11000001100 divided by its reverse (110000011) gives a square (100 = 10²).

The spelling of 11000001100 in words is "eleven billion, one thousand, one hundred".