10221200221221 has 36 divisors (see below), whose sum is σ = 16228513397824. Its totient is φ = 6194528025840.

The previous prime is 10221200221213. The next prime is 10221200221289. The reversal of 10221200221221 is 12212200212201.

It is a happy number.

10221200221221 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 200 + 221 + 221 = 666.

It is not a de Polignac number, because 10221200221221 - 2³ = 10221200221213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221200221194 and 10221200221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200221121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69952986 + ... + 70098948.

Almost surely, 2^{10221200221221} is an apocalyptic number.

10221200221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221200221221 is a deficient number, since it is larger than the sum of its proper divisors (6007313176603).

10221200221221 is a wasteful number, since it uses less digits than its factorization.

10221200221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210294 (or 210280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221200221221 its reverse (12212200212201), we get a palindrome (22433400433422).

The spelling of 10221200221221 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty-one".