100033120200 has 192 divisors, whose sum is σ = 342103104000. Its totient is φ = 24022886400.

The previous prime is 100033120199. The next prime is 100033120207. The reversal of 100033120200 is 2021330001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100033120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163401 + ... + 476199.

It is an arithmetic number, because the mean of its divisors is an integer number (1781787000).

Almost surely, 2^100033120200 is an apocalyptic number.

100033120200 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 100033120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171051552000).

100033120200 is an abundant number, since it is smaller than the sum of its proper divisors (242069983800).

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

100033120200 is a wasteful number, since it uses less digits than its factorization.

100033120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312872 (or 312863 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100033120200 its reverse (2021330001), we get a palindrome (102054450201).

The spelling of 100033120200 in words is "one hundred billion, thirty-three million, one hundred twenty thousand, two hundred".