110442242110200 has 1536 divisors, whose sum is σ = 472677646694400. Its totient is φ = 20588986368000.

The previous prime is 110442242110199. The next prime is 110442242110223. The reversal of 110442242110200 is 2011242244011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6624009064 + ... + 6624025736.

It is an arithmetic number, because the mean of its divisors is an integer number (307732842900).

Almost surely, 2^{110442242110200} is an apocalyptic number.

110442242110200 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 110442242110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236338823347200).

110442242110200 is an abundant number, since it is smaller than the sum of its proper divisors (362235404584200).

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

110442242110200 is a wasteful number, since it uses less digits than its factorization.

110442242110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17033 (or 17024 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 110442242110200 its reverse (2011242244011), we get a palindrome (112453484354211).

The spelling of 110442242110200 in words is "one hundred ten trillion, four hundred forty-two billion, two hundred forty-two million, one hundred ten thousand, two hundred".