100200003300 has 108 divisors (see below), whose sum is σ = 319997370420. Its totient is φ = 26215837440.

The previous prime is 100200003271. The next prime is 100200003311. The reversal of 100200003300 is 3300002001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 107495424 + 100092507876 = 10368^2 + 316374^2 .

It is a super-2 number, since 2×100200003300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 1002615 + ... + 1098014.

It is an arithmetic number, because the mean of its divisors is an integer number (2962938615).

Almost surely, 2^100200003300 is an apocalyptic number.

100200003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200003300 is an abundant number, since it is smaller than the sum of its proper divisors (219797367120).

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

100200003300 is a wasteful number, since it uses less digits than its factorization.

100200003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100702 (or 2100692 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 100200003300 its reverse (3300002001), we get a palindrome (103500005301).

The spelling of 100200003300 in words is "one hundred billion, two hundred million, three thousand, three hundred".