11001100010000 has 150 divisors (see below), whose sum is σ = 28293683255970. Its totient is φ = 4141589504000.

The previous prime is 11001100009993. The next prime is 11001100010039. The reversal of 11001100010000 is 1000110011.

It can be written as a sum of positive squares in 15 ways, for example, as 9102337272064 + 1898762737936 = 3017008^2 + 1377956^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 986696 + ... + 4793304.

Almost surely, 2^{11001100010000} is an apocalyptic number.

11001100010000 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 11001100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146841627985).

11001100010000 is an abundant number, since it is smaller than the sum of its proper divisors (17292583245970).

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

11001100010000 is an equidigital number, since it uses as much as digits as its factorization.

11001100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806671 (or 3806633 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11001100010000 its reverse (1000110011), we get a palindrome (11002100120011).

The spelling of 11001100010000 in words is "eleven trillion, one billion, one hundred million, ten thousand".