100303100200 has 96 divisors (see below), whose sum is σ = 240330164760. Its totient is φ = 38902809600.

The previous prime is 100303100189. The next prime is 100303100207. The reversal of 100303100200 is 2001303001.

It can be written as a sum of positive squares in 12 ways, for example, as 81164591236 + 19138508964 = 284894^2 + 138342^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100303100207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2145070 + ... + 2191330.

Almost surely, 2^100303100200 is an apocalyptic number.

100303100200 is a gapful number since it is divisible by the number (10) 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 100303100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120165082380).

100303100200 is an abundant number, since it is smaller than the sum of its proper divisors (140027064560).

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

100303100200 is a wasteful number, since it uses less digits than its factorization.

100303100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46607 (or 46598 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100303100200 its reverse (2001303001), we get a palindrome (102304403201).

The spelling of 100303100200 in words is "one hundred billion, three hundred three million, one hundred thousand, two hundred".