11000000001100 has 144 divisors (see below), whose sum is σ = 26306189233632. Its totient is φ = 3959136000000.

The previous prime is 11000000001091. The next prime is 11000000001113. The reversal of 11000000001100 is 110000000011.

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 11000000001100.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 393391120 + ... + 393419080.

It is an arithmetic number, because the mean of its divisors is an integer number (182681869678).

Almost surely, 2^{11000000001100} is an apocalyptic number.

11000000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13153094616816).

11000000001100 is an abundant number, since it is smaller than the sum of its proper divisors (15306189232532).

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

11000000001100 is a wasteful number, since it uses less digits than its factorization.

11000000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31628 (or 31621 counting only the distinct ones).

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

Adding to 11000000001100 its reverse (110000000011), we get a palindrome (11110000001111).

11000000001100 divided by its reverse (110000000011) gives a square (100 = 10²).

It can be divided in two parts, 1100000000 and 1100, that multiplied together give a square (1210000000000 = 1100000²).

The spelling of 11000000001100 in words is "eleven trillion, one thousand, one hundred".