200100121200 has 480 divisors, whose sum is σ = 816015390720. Its totient is φ = 45621273600.

The previous prime is 200100121183. The next prime is 200100121211. The reversal of 200100121200 is 2121001002.

200100121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 31824457 + ... + 31830743.

It is an arithmetic number, because the mean of its divisors is an integer number (1700032064).

Almost surely, 2^200100121200 is an apocalyptic number.

200100121200 is a gapful number since it is divisible by the number (20) 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 200100121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408007695360).

200100121200 is an abundant number, since it is smaller than the sum of its proper divisors (615915269520).

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

200100121200 is a wasteful number, since it uses less digits than its factorization.

200100121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200100121200 its reverse (2121001002), we get a palindrome (202221122202).

The spelling of 200100121200 in words is "two hundred billion, one hundred million, one hundred twenty-one thousand, two hundred".