100303301221200 has 1440 divisors, whose sum is σ = 437156092219392. Its totient is φ = 20689675776000.

The previous prime is 100303301221129. The next prime is 100303301221261. The reversal of 100303301221200 is 2122103303001.

100303301221200 is a `hidden beast` number, since 10 + 0 + 3 + 0 + 330 + 122 + 1 + 200 = 666.

It is a super-2 number, since 2×100303301221200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34268294137 + ... + 34268297063.

Almost surely, 2^{100303301221200} is an apocalyptic number.

100303301221200 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 100303301221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218578046109696).

100303301221200 is an abundant number, since it is smaller than the sum of its proper divisors (336852790998192).

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

100303301221200 is a wasteful number, since it uses less digits than its factorization.

100303301221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100303301221200 its reverse (2122103303001), we get a palindrome (102425404524201).

The spelling of 100303301221200 in words is "one hundred trillion, three hundred three billion, three hundred one million, two hundred twenty-one thousand, two hundred".