200303002202100 has 2304 divisors, whose sum is σ = 776803785375744. Its totient is φ = 38779969536000.

The previous prime is 200303002202087. The next prime is 200303002202213. The reversal of 200303002202100 is 1202200303002.

It is a super-3 number, since 3×200303002202100³ (a number of 44 digits) contains 333 as substring.

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 200303002202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 112340437809 + ... + 112340439591.

It is an arithmetic number, because the mean of its divisors is an integer number (337154420736).

Almost surely, 2^{200303002202100} is an apocalyptic number.

200303002202100 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 200303002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388401892687872).

200303002202100 is an abundant number, since it is smaller than the sum of its proper divisors (576500783173644).

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

200303002202100 is a wasteful number, since it uses less digits than its factorization.

200303002202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200303002202100 its reverse (1202200303002), we get a palindrome (201505202505102).

The spelling of 200303002202100 in words is "two hundred trillion, three hundred three billion, two million, two hundred two thousand, one hundred".