11101100110110 has 128 divisors (see below), whose sum is σ = 31346876672640. Its totient is φ = 2785927882752.

The previous prime is 11101100110103. The next prime is 11101100110123. The reversal of 11101100110110 is 1101100110111.

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 = 11101100110092 and 11101100110101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59195412 + ... + 59382648.

It is an arithmetic number, because the mean of its divisors is an integer number (244897474005).

Almost surely, 2^{11101100110110} is an apocalyptic number.

11101100110110 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 11101100110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673438336320).

11101100110110 is an abundant number, since it is smaller than the sum of its proper divisors (20245776562530).

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

11101100110110 is a wasteful number, since it uses less digits than its factorization.

11101100110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200187 (or 200181 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11101100110110 its reverse (1101100110111), we get a palindrome (12202200220221).

Subtracting from 11101100110110 its reverse (1101100110111), we obtain a palindrome (9999999999999).

The spelling of 11101100110110 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred ten".