213101200201221 has 24 divisors (see below), whose sum is σ = 308252691654336. Its totient is φ = 141864492255360.

The previous prime is 213101200201217. The next prime is 213101200201261. The reversal of 213101200201221 is 122102002101312.

213101200201221 is a `hidden beast` number, since 213 + 10 + 1 + 20 + 0 + 201 + 221 = 666.

It is not a de Polignac number, because 213101200201221 - 2² = 213101200201217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213101200201194 and 213101200201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101200201261) 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 23 ways as a sum of consecutive naturals, for example, 79684186 + ... + 82315076.

It is an arithmetic number, because the mean of its divisors is an integer number (12843862152264).

Almost surely, 2^{213101200201221} is an apocalyptic number.

It is an amenable number.

213101200201221 is a deficient number, since it is larger than the sum of its proper divisors (95151491453115).

213101200201221 is a wasteful number, since it uses less digits than its factorization.

213101200201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643753 (or 2643750 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213101200201221 its reverse (122102002101312), we get a palindrome (335203202302533).

The spelling of 213101200201221 in words is "two hundred thirteen trillion, one hundred one billion, two hundred million, two hundred one thousand, two hundred twenty-one".