10220120210221 has 8 divisors (see below), whose sum is σ = 10276313617944. Its totient is φ = 10163970384960.

The previous prime is 10220120210203. The next prime is 10220120210297. The reversal of 10220120210221 is 12201202102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1129979630025 + 9090140580196 = 1063005^2 + 3014986^2 .

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 10220120210221 - 2¹⁵ = 10220120177453 is a prime.

It is a super-2 number, since 2×10220120210221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220120210195 and 10220120210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220120210621) 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, 10425270 + ... + 11363383.

It is an arithmetic number, because the mean of its divisors is an integer number (1284539202243).

Almost surely, 2^{10220120210221} is an apocalyptic number.

It is an amenable number.

10220120210221 is a deficient number, since it is larger than the sum of its proper divisors (56193407723).

10220120210221 is a wasteful number, since it uses less digits than its factorization.

10220120210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21791231.

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

Adding to 10220120210221 its reverse (12201202102201), we get a palindrome (22421322312422).

The spelling of 10220120210221 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, two hundred ten thousand, two hundred twenty-one".