200100020302100 has 288 divisors, whose sum is σ = 483782035968000. Its totient is φ = 71491042022400.

The previous prime is 200100020302067. The next prime is 200100020302109. The reversal of 200100020302100 is 1203020001002.

It is a happy number.

200100020302100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100020302109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22112938376 + ... + 22112947424.

It is an arithmetic number, because the mean of its divisors is an integer number (1679798736000).

Almost surely, 2^{200100020302100} is an apocalyptic number.

200100020302100 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 200100020302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241891017984000).

200100020302100 is an abundant number, since it is smaller than the sum of its proper divisors (283682015665900).

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

200100020302100 is a wasteful number, since it uses less digits than its factorization.

200100020302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16303 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 200100020302100 its reverse (1203020001002), we get a palindrome (201303040303102).

The spelling of 200100020302100 in words is "two hundred trillion, one hundred billion, twenty million, three hundred two thousand, one hundred".