200344212324100 has 144 divisors (see below), whose sum is σ = 468611948165760. Its totient is φ = 73906453785600.

The previous prime is 200344212324019. The next prime is 200344212324103. The reversal of 200344212324100 is 1423212443002.

It is not an unprimeable number, because it can be changed into a prime (200344212324103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7917792049 + ... + 7917817351.

It is an arithmetic number, because the mean of its divisors is an integer number (3254249640040).

Almost surely, 2^{200344212324100} is an apocalyptic number.

200344212324100 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 200344212324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234305974082880).

200344212324100 is an abundant number, since it is smaller than the sum of its proper divisors (268267735841660).

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

200344212324100 is a wasteful number, since it uses less digits than its factorization.

200344212324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590 (or 30583 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 200344212324100 its reverse (1423212443002), we get a palindrome (201767424767102).

The spelling of 200344212324100 in words is "two hundred trillion, three hundred forty-four billion, two hundred twelve million, three hundred twenty-four thousand, one hundred".