213122230100 has 72 divisors (see below), whose sum is σ = 499823535288. Its totient is φ = 78411110400.

The previous prime is 213122230099. The next prime is 213122230103. The reversal of 213122230100 is 1032221312.

213122230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 30892280644 + 182229949456 = 175762^2 + 426884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122230103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73592 + ... + 657008.

Almost surely, 2^213122230100 is an apocalyptic number.

213122230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213122230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249911767644).

213122230100 is an abundant number, since it is smaller than the sum of its proper divisors (286701305188).

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

213122230100 is a wasteful number, since it uses less digits than its factorization.

213122230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583725 (or 583718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 213122230100 its reverse (1032221312), we get a palindrome (214154451412).

The spelling of 213122230100 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred thirty thousand, one hundred".