10220310211221 has 16 divisors (see below), whose sum is σ = 16517673069120. Its totient is φ = 6194127400560.

The previous prime is 10220310211187. The next prime is 10220310211229. The reversal of 10220310211221 is 12211201302201.

10220310211221 is a `hidden beast` number, since 1 + 0 + 220 + 3 + 10 + 211 + 221 = 666.

It is not a de Polignac number, because 10220310211221 - 2⁷ = 10220310211093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220310211194 and 10220310211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220310211229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17205909150 + ... + 17205909743.

It is an arithmetic number, because the mean of its divisors is an integer number (1032354566820).

Almost surely, 2^{10220310211221} is an apocalyptic number.

10220310211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220310211221 is a deficient number, since it is larger than the sum of its proper divisors (6297362857899).

10220310211221 is a wasteful number, since it uses less digits than its factorization.

10220310211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34411818913 (or 34411818907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10220310211221 its reverse (12211201302201), we get a palindrome (22431511513422).

The spelling of 10220310211221 in words is "ten trillion, two hundred twenty billion, three hundred ten million, two hundred eleven thousand, two hundred twenty-one".