200330320102000 has 320 divisors, whose sum is σ = 557409152102400. Its totient is φ = 68869169280000.

The previous prime is 200330320101983. The next prime is 200330320102027. The reversal of 200330320102000 is 201023033002.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 63 ways as a sum of consecutive naturals, for example, 199721730 + ... + 200722270.

It is an arithmetic number, because the mean of its divisors is an integer number (1741903600320).

Almost surely, 2^{200330320102000} is an apocalyptic number.

200330320102000 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 200330320102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278704576051200).

200330320102000 is an abundant number, since it is smaller than the sum of its proper divisors (357078832000400).

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

200330320102000 is a wasteful number, since it uses less digits than its factorization.

200330320102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001073 (or 1001057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 200330320102000 its reverse (201023033002), we get a palindrome (200531343135002).

The spelling of 200330320102000 in words is "two hundred trillion, three hundred thirty billion, three hundred twenty million, one hundred two thousand".