221010210211221 has 24 divisors (see below), whose sum is σ = 327024083655360. Its totient is φ = 143746106414400.

The previous prime is 221010210211171. The next prime is 221010210211331. The reversal of 221010210211221 is 122112012010122.

221010210211221 is a `hidden beast` number, since 2 + 2 + 10 + 10 + 210 + 211 + 221 = 666.

It is not a de Polignac number, because 221010210211221 - 2⁹ = 221010210210709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221010210211194 and 221010210211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010210210221) 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, 274051816 + ... + 274857086.

It is an arithmetic number, because the mean of its divisors is an integer number (13626003485640).

Almost surely, 2^{221010210211221} is an apocalyptic number.

It is an amenable number.

221010210211221 is a deficient number, since it is larger than the sum of its proper divisors (106013873444139).

221010210211221 is a wasteful number, since it uses less digits than its factorization.

221010210211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549097 (or 1549094 counting only the distinct ones).

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

Adding to 221010210211221 its reverse (122112012010122), we get a palindrome (343122222221343).

The spelling of 221010210211221 in words is "two hundred twenty-one trillion, ten billion, two hundred ten million, two hundred eleven thousand, two hundred twenty-one".