8032201010221 has 8 divisors (see below), whose sum is σ = 8183796251544. Its totient is φ = 7880607408960.

The previous prime is 8032201010149. The next prime is 8032201010257. The reversal of 8032201010221 is 1220101022308.

It can be written as a sum of positive squares in 4 ways, for example, as 21885947721 + 8010315062500 = 147939^2 + 2830250^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8032201010221 - 2⁹ = 8032201009709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8032201010192 and 8032201010201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8032201010291) 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 7 ways as a sum of consecutive naturals, for example, 14643895 + ... + 15182491.

It is an arithmetic number, because the mean of its divisors is an integer number (1022974531443).

Almost surely, 2^{8032201010221} is an apocalyptic number.

It is an amenable number.

8032201010221 is a deficient number, since it is larger than the sum of its proper divisors (151595241323).

8032201010221 is a wasteful number, since it uses less digits than its factorization.

8032201010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820031.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 8032201010221 its reverse (1220101022308), we get a palindrome (9252302032529).

The spelling of 8032201010221 in words is "eight trillion, thirty-two billion, two hundred one million, ten thousand, two hundred twenty-one".