10221012211221 has 48 divisors (see below), whose sum is σ = 17758859815424. Its totient is φ = 5753405530224.

The previous prime is 10221012211217. The next prime is 10221012211229. The reversal of 10221012211221 is 12211221012201.

10221012211221 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 1 + 221 + 1 + 221 = 666.

10221012211221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221012211221 - 2² = 10221012211217 is a prime.

It is a super-3 number, since 3×10221012211221³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221012211194 and 10221012211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221012211229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44728015 + ... + 44955948.

Almost surely, 2^{10221012211221} is an apocalyptic number.

It is an amenable number.

10221012211221 is a deficient number, since it is larger than the sum of its proper divisors (7537847604203).

10221012211221 is an frugal number, since it uses more digits than its factorization.

10221012211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89684052 (or 89684040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221012211221 its reverse (12211221012201), we get a palindrome (22432233223422).

The spelling of 10221012211221 in words is "ten trillion, two hundred twenty-one billion, twelve million, two hundred eleven thousand, two hundred twenty-one".