203200100000 has 288 divisors, whose sum is σ = 530199658800. Its totient is φ = 76518400000.

The previous prime is 203200099961. The next prime is 203200100069. The reversal of 203200100000 is 1002302.

It can be written as a sum of positive squares in 24 ways, for example, as 203188183696 + 11916304 = 450764^2 + 3452^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118899146 + ... + 118900854.

Almost surely, 2^203200100000 is an apocalyptic number.

203200100000 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 203200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265099829400).

203200100000 is an abundant number, since it is smaller than the sum of its proper divisors (326999558800).

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

203200100000 is an equidigital number, since it uses as much as digits as its factorization.

203200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 203200100000 its reverse (1002302), we get a palindrome (203201102302).

The spelling of 203200100000 in words is "two hundred three billion, two hundred million, one hundred thousand".