110011000101100 has 144 divisors (see below), whose sum is σ = 287205992640000. Its totient is φ = 35730484715520.

The previous prime is 110011000101077. The next prime is 110011000101109. The reversal of 110011000101100 is 1101000110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (110011000101109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202327401 + ... + 202870399.

It is an arithmetic number, because the mean of its divisors is an integer number (1994486060000).

Almost surely, 2^{110011000101100} is an apocalyptic number.

110011000101100 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 110011000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143602996320000).

110011000101100 is an abundant number, since it is smaller than the sum of its proper divisors (177194992538900).

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

110011000101100 is a wasteful number, since it uses less digits than its factorization.

110011000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558272 (or 558265 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110011000101100 its reverse (1101000110011), we get a palindrome (111112000211111).

The spelling of 110011000101100 in words is "one hundred ten trillion, eleven billion, one hundred one thousand, one hundred".