213230022100002 has 80 divisors (see below), whose sum is σ = 480450974515512. Its totient is φ = 70681331773440.

The previous prime is 213230022099989. The next prime is 213230022100009. The reversal of 213230022100002 is 200001220032312.

213230022100002 is a `hidden beast` number, since 213 + 230 + 0 + 221 + 0 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158021719107561 + 55208302992441 = 12570669^2 + 7430229^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213230022100009) 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 39 ways as a sum of consecutive naturals, for example, 877104738 + ... + 877347810.

Almost surely, 2^{213230022100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213230022100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240225487257756).

213230022100002 is an abundant number, since it is smaller than the sum of its proper divisors (267220952415510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213230022100002 is a wasteful number, since it uses less digits than its factorization.

213230022100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273185 (or 273176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213230022100002 its reverse (200001220032312), we get a palindrome (413231242132314).

The spelling of 213230022100002 in words is "two hundred thirteen trillion, two hundred thirty billion, twenty-two million, one hundred thousand, two".