10221231221221 has 32 divisors (see below), whose sum is σ = 11046211747200. Its totient is φ = 9428205600000.

The previous prime is 10221231221167. The next prime is 10221231221237. The reversal of 10221231221221 is 12212213212201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221231221221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221231221192 and 10221231221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221231221021) 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 31 ways as a sum of consecutive naturals, for example, 1032338371 + ... + 1032348271.

It is an arithmetic number, because the mean of its divisors is an integer number (345194117100).

Almost surely, 2^{10221231221221} is an apocalyptic number.

It is an amenable number.

10221231221221 is a deficient number, since it is larger than the sum of its proper divisors (824980525979).

10221231221221 is a wasteful number, since it uses less digits than its factorization.

10221231221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18901.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10221231221221 its reverse (12212213212201), we get a palindrome (22433444433422).

The spelling of 10221231221221 in words is "ten trillion, two hundred twenty-one billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty-one".