10221112321221 has 24 divisors (see below), whose sum is σ = 13908903306816. Its totient is φ = 6676221657600.

The previous prime is 10221112321207. The next prime is 10221112321271. The reversal of 10221112321221 is 12212321112201.

It is not a de Polignac number, because 10221112321221 - 2¹⁹ = 10221111796933 is a prime.

It is a super-2 number, since 2×10221112321221² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221112321271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297021 + ... + 4531053.

It is an arithmetic number, because the mean of its divisors is an integer number (579537637784).

Almost surely, 2^{10221112321221} is an apocalyptic number.

It is an amenable number.

10221112321221 is a deficient number, since it is larger than the sum of its proper divisors (3687790985595).

10221112321221 is an equidigital number, since it uses as much as digits as its factorization.

10221112321221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234333 (or 4234260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10221112321221 its reverse (12212321112201), we get a palindrome (22433433433422).

The spelling of 10221112321221 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, three hundred twenty-one thousand, two hundred twenty-one".