200121310400 has 168 divisors, whose sum is σ = 540413911296. Its totient is φ = 72334566400.

The previous prime is 200121310369. The next prime is 200121310439. The reversal of 200121310400 is 4013121002.

200121310400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2905157 + ... + 2973243.

It is an arithmetic number, because the mean of its divisors is an integer number (3216749472).

Almost surely, 2^200121310400 is an apocalyptic number.

200121310400 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 200121310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270206955648).

200121310400 is an abundant number, since it is smaller than the sum of its proper divisors (340292600896).

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

200121310400 is a wasteful number, since it uses less digits than its factorization.

200121310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68287 (or 68272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 200121310400 its reverse (4013121002), we get a palindrome (204134431402).

The spelling of 200121310400 in words is "two hundred billion, one hundred twenty-one million, three hundred ten thousand, four hundred".