11001101100 has 144 divisors (see below), whose sum is σ = 34808188800. Its totient is φ = 2660428800.

The previous prime is 11001101071. The next prime is 11001101131. The reversal of 11001101100 is 110110011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425051 + ... + 1432749.

Almost surely, 2^11001101100 is an apocalyptic number.

11001101100 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 11001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404094400).

11001101100 is an abundant number, since it is smaller than the sum of its proper divisors (23807087700).

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

11001101100 is a wasteful number, since it uses less digits than its factorization.

11001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11001101100 its reverse (110110011), we get a palindrome (11111211111).

It can be divided in two parts, 11001 and 101100, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 11001101100 in words is "eleven billion, one million, one hundred one thousand, one hundred".