110121122000200 has 96 divisors (see below), whose sum is σ = 256784319439200. Its totient is φ = 43918964925440.

The previous prime is 110121122000189. The next prime is 110121122000209. The reversal of 110121122000200 is 2000221121011.

It is not an unprimeable number, because it can be changed into a prime (110121122000209) 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 23 ways as a sum of consecutive naturals, for example, 1600121391 + ... + 1600190209.

It is an arithmetic number, because the mean of its divisors is an integer number (2674836660825).

Almost surely, 2^{110121122000200} is an apocalyptic number.

110121122000200 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 110121122000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128392159719600).

110121122000200 is an abundant number, since it is smaller than the sum of its proper divisors (146663197439000).

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

110121122000200 is a wasteful number, since it uses less digits than its factorization.

110121122000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92239 (or 92230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110121122000200 its reverse (2000221121011), we get a palindrome (112121343121211).

The spelling of 110121122000200 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred", and thus it is an aban number.