213120112221 has 48 divisors (see below), whose sum is σ = 320091785520. Its totient is φ = 136527897600.

The previous prime is 213120112207. The next prime is 213120112237. The reversal of 213120112221 is 122211021312.

213120112221 is a `hidden beast` number, since 21 + 312 + 0 + 112 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45417576996 + 167702535225 = 213114^2 + 409515^2 .

It is not a de Polignac number, because 213120112221 - 2¹⁸ = 213119850077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120112194 and 213120112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120112291) 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 47 ways as a sum of consecutive naturals, for example, 13748151 + ... + 13763643.

It is an arithmetic number, because the mean of its divisors is an integer number (6668578865).

Almost surely, 2^213120112221 is an apocalyptic number.

It is an amenable number.

213120112221 is a deficient number, since it is larger than the sum of its proper divisors (106971673299).

213120112221 is a wasteful number, since it uses less digits than its factorization.

213120112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16046 (or 16043 counting only the distinct ones).

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

Adding to 213120112221 its reverse (122211021312), we get a palindrome (335331133533).

Subtracting from 213120112221 its reverse (122211021312), we obtain a palindrome (90909090909).

The spelling of 213120112221 in words is "two hundred thirteen billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-one".