10221120221 has 16 divisors (see below), whose sum is σ = 11322528000. Its totient is φ = 9167629248.

The previous prime is 10221120199. The next prime is 10221120269. The reversal of 10221120221 is 12202112201.

It is a cyclic number.

It is not a de Polignac number, because 10221120221 - 2¹⁸ = 10220858077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221120196 and 10221120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221120421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24755 + ... + 145103.

It is an arithmetic number, because the mean of its divisors is an integer number (707658000).

Almost surely, 2^10221120221 is an apocalyptic number.

It is an amenable number.

10221120221 is a deficient number, since it is larger than the sum of its proper divisors (1101407779).

10221120221 is a wasteful number, since it uses less digits than its factorization.

10221120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120548.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221120221 its reverse (12202112201), we get a palindrome (22423232422).

The spelling of 10221120221 in words is "ten billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".