213223122100 has 36 divisors (see below), whose sum is σ = 463116194604. Its totient is φ = 85211457280.

The previous prime is 213223122089. The next prime is 213223122103. The reversal of 213223122100 is 1221322312.

It can be written as a sum of positive squares in 6 ways, for example, as 263023524 + 212960098576 = 16218^2 + 461476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862147 + ... + 1081546.

It is an arithmetic number, because the mean of its divisors is an integer number (12864338739).

Almost surely, 2^213223122100 is an apocalyptic number.

213223122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213223122100 is an abundant number, since it is smaller than the sum of its proper divisors (249893072504).

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

213223122100 is a wasteful number, since it uses less digits than its factorization.

213223122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944804 (or 1944797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213223122100 its reverse (1221322312), we get a palindrome (214444444412).

The spelling of 213223122100 in words is "two hundred thirteen billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred".