103201232200 has 192 divisors, whose sum is σ = 276401952000. Its totient is φ = 35440416000.

The previous prime is 103201232161. The next prime is 103201232209. The reversal of 103201232200 is 2232102301.

103201232200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103201232209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13832071 + ... + 13839529.

It is an arithmetic number, because the mean of its divisors is an integer number (1439593500).

Almost surely, 2^103201232200 is an apocalyptic number.

103201232200 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 103201232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138200976000).

103201232200 is an abundant number, since it is smaller than the sum of its proper divisors (173200719800).

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

103201232200 is a wasteful number, since it uses less digits than its factorization.

103201232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103201232200 its reverse (2232102301), we get a palindrome (105433334501).

The spelling of 103201232200 in words is "one hundred three billion, two hundred one million, two hundred thirty-two thousand, two hundred".