103330021331200 has 216 divisors, whose sum is σ = 257497649548776. Its totient is φ = 41051750400000.

The previous prime is 103330021331197. The next prime is 103330021331209. The reversal of 103330021331200 is 2133120033301.

It can be written as a sum of positive squares in 12 ways, for example, as 26052542464 + 103303968788736 = 161408^2 + 10163856^2 .

It is not an unprimeable number, because it can be changed into a prime (103330021331209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597884800 + ... + 598057600.

It is an arithmetic number, because the mean of its divisors is an integer number (1192118747911).

Almost surely, 2^{103330021331200} is an apocalyptic number.

103330021331200 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 103330021331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128748824774388).

103330021331200 is an abundant number, since it is smaller than the sum of its proper divisors (154167628217576).

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

103330021331200 is a wasteful number, since it uses less digits than its factorization.

103330021331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173461 (or 173442 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103330021331200 its reverse (2133120033301), we get a palindrome (105463141364501).

The spelling of 103330021331200 in words is "one hundred three trillion, three hundred thirty billion, twenty-one million, three hundred thirty-one thousand, two hundred".