103200001033221 has 12 divisors (see below), whose sum is σ = 149079040020300. Its totient is φ = 68794290599040.

The previous prime is 103200001033211. The next prime is 103200001033229. The reversal of 103200001033221 is 122330100002301.

103200001033221 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 0 + 0 + 10 + 332 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92609076936321 + 10590924096900 = 9623361^2 + 3254370^2 .

It is not a de Polignac number, because 103200001033221 - 2⁵ = 103200001033189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103200001033194 and 103200001033203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200001033229) 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 11 ways as a sum of consecutive naturals, for example, 475726350 + ... + 475943231.

It is an arithmetic number, because the mean of its divisors is an integer number (12423253335025).

Almost surely, 2^{103200001033221} is an apocalyptic number.

It is an amenable number.

103200001033221 is a deficient number, since it is larger than the sum of its proper divisors (45879038987079).

103200001033221 is a wasteful number, since it uses less digits than its factorization.

103200001033221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951681636 (or 951681633 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103200001033221 its reverse (122330100002301), we get a palindrome (225530101035522).

The spelling of 103200001033221 in words is "one hundred three trillion, two hundred billion, one million, thirty-three thousand, two hundred twenty-one".