11001100100112 has 80 divisors (see below), whose sum is σ = 31581619748160. Its totient is φ = 3666523795200.

The previous prime is 11001100100063. The next prime is 11001100100153. The reversal of 11001100100112 is 21100100110011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001100100094 and 11001100100103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349412 + ... + 4880892.

It is an arithmetic number, because the mean of its divisors is an integer number (394770246852).

Almost surely, 2^{11001100100112} is an apocalyptic number.

11001100100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001100100112 is an abundant number, since it is smaller than the sum of its proper divisors (20580519648048).

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

11001100100112 is a wasteful number, since it uses less digits than its factorization.

11001100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538709 (or 3538697 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11001100100112 its reverse (21100100110011), we get a palindrome (32101200210123).

The spelling of 11001100100112 in words is "eleven trillion, one billion, one hundred million, one hundred thousand, one hundred twelve".