221000210221221 has 48 divisors (see below), whose sum is σ = 338018348513664. Its totient is φ = 138860378376192.

The previous prime is 221000210221207. The next prime is 221000210221247. The reversal of 221000210221221 is 122122012000122.

It is a happy number.

221000210221221 is a `hidden beast` number, since 2 + 2 + 10 + 0 + 0 + 210 + 221 + 221 = 666.

It is not a de Polignac number, because 221000210221221 - 2⁹ = 221000210220709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221000210221194 and 221000210221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000210221321) 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, 19685536 + ... + 28801401.

It is an arithmetic number, because the mean of its divisors is an integer number (7042048927368).

Almost surely, 2^{221000210221221} is an apocalyptic number.

It is an amenable number.

221000210221221 is a deficient number, since it is larger than the sum of its proper divisors (117018138292443).

221000210221221 is a wasteful number, since it uses less digits than its factorization.

221000210221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48487290 (or 48487287 counting only the distinct ones).

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

Adding to 221000210221221 its reverse (122122012000122), we get a palindrome (343122222221343).

The spelling of 221000210221221 in words is "two hundred twenty-one trillion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty-one".