200010201312300 has 288 divisors, whose sum is σ = 585386532864000. Its totient is φ = 52722751011840.

The previous prime is 200010201312281. The next prime is 200010201312413. The reversal of 200010201312300 is 3213102010002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200010201312300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19134233874 + ... + 19134244326.

It is an arithmetic number, because the mean of its divisors is an integer number (2032592128000).

Almost surely, 2^{200010201312300} is an apocalyptic number.

200010201312300 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 200010201312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292693266432000).

200010201312300 is an abundant number, since it is smaller than the sum of its proper divisors (385376331551700).

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

200010201312300 is a wasteful number, since it uses less digits than its factorization.

200010201312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 200010201312300 its reverse (3213102010002), we get a palindrome (203223303322302).

The spelling of 200010201312300 in words is "two hundred trillion, ten billion, two hundred one million, three hundred twelve thousand, three hundred".