100320120200 has 96 divisors (see below), whose sum is σ = 245391559560. Its totient is φ = 38091110400.

The previous prime is 100320120167. The next prime is 100320120203. The reversal of 100320120200 is 2021023001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5134295716 + 95185824484 = 71654^2 + 308522^2 .

It is not an unprimeable number, because it can be changed into a prime (100320120203) 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, 138074 + ... + 468726.

Almost surely, 2^100320120200 is an apocalyptic number.

100320120200 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 100320120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122695779780).

100320120200 is an abundant number, since it is smaller than the sum of its proper divisors (145071439360).

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

100320120200 is a wasteful number, since it uses less digits than its factorization.

100320120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330747 (or 330738 counting only the distinct ones).

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

Adding to 100320120200 its reverse (2021023001), we get a palindrome (102341143201).

The spelling of 100320120200 in words is "one hundred billion, three hundred twenty million, one hundred twenty thousand, two hundred".