103201021300221 has 72 divisors (see below), whose sum is σ = 164971414422360. Its totient is φ = 61797763678464.

The previous prime is 103201021300217. The next prime is 103201021300253. The reversal of 103201021300221 is 122003120102301.

103201021300221 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 0 + 21 + 300 + 2 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18712017896121 + 84489003404100 = 4325739^2 + 9191790^2 .

It is not a de Polignac number, because 103201021300221 - 2² = 103201021300217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103201021300194 and 103201021300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103201021300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43558315 + ... + 45866423.

It is an arithmetic number, because the mean of its divisors is an integer number (2291269644755).

Almost surely, 2^{103201021300221} is an apocalyptic number.

It is an amenable number.

103201021300221 is a deficient number, since it is larger than the sum of its proper divisors (61770393122139).

103201021300221 is a wasteful number, since it uses less digits than its factorization.

103201021300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308395 (or 2308345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103201021300221 its reverse (122003120102301), we get a palindrome (225204141402522).

The spelling of 103201021300221 in words is "one hundred three trillion, two hundred one billion, twenty-one million, three hundred thousand, two hundred twenty-one".