102221021000221 has 8 divisors (see below), whose sum is σ = 102317109012824. Its totient is φ = 102124937678400.

The previous prime is 102221021000209. The next prime is 102221021000227. The reversal of 102221021000221 is 122000120122201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 59320341880900 + 42900679119321 = 7701970^2 + 6549861^2 .

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 102221021000221 - 2¹⁵ = 102221020967453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102221021000195 and 102221021000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221021000227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43220671 + ... + 45524371.

It is an arithmetic number, because the mean of its divisors is an integer number (12789638626603).

Almost surely, 2^{102221021000221} is an apocalyptic number.

It is an amenable number.

102221021000221 is a deficient number, since it is larger than the sum of its proper divisors (96088012603).

102221021000221 is a wasteful number, since it uses less digits than its factorization.

102221021000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345391.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221021000221 its reverse (122000120122201), we get a palindrome (224221141122422).

The spelling of 102221021000221 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-one", and thus it is an aban number.