11001100110 has 256 divisors, whose sum is σ = 36411475968. Its totient is φ = 2052864000.

The previous prime is 11001100093. The next prime is 11001100139. The reversal of 11001100110 is 1100110011.

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

11001100110 is a modest number, since divided by 1100110 gives 110 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1106160 + ... + 1116060.

It is an arithmetic number, because the mean of its divisors is an integer number (142232328).

Almost surely, 2^11001100110 is an apocalyptic number.

11001100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18205737984).

11001100110 is an abundant number, since it is smaller than the sum of its proper divisors (25410375858).

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

11001100110 is a wasteful number, since it uses less digits than its factorization.

11001100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979.

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

Adding to 11001100110 its reverse (1100110011), we get a palindrome (12101210121).

Subtracting from 11001100110 its reverse (1100110011), we obtain a palindrome (9900990099).

It can be divided in two parts, 11001 and 100110, that added together give a palindrome (111111).

The spelling of 11001100110 in words is "eleven billion, one million, one hundred thousand, one hundred ten".