213212310100 has 18 divisors (see below), whose sum is σ = 462670713134. Its totient is φ = 85284924000.

The previous prime is 213212310061. The next prime is 213212310107. The reversal of 213212310100 is 1013212312.

213212310100 is digitally balanced in base 3, 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 3 ways, for example, as 11715464644 + 201496845456 = 108238^2 + 448884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213212310107) 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 5 ways as a sum of consecutive naturals, for example, 1066061451 + ... + 1066061650.

Almost surely, 2^213212310100 is an apocalyptic number.

213212310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213212310100 is an abundant number, since it is smaller than the sum of its proper divisors (249458403034).

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

213212310100 is a wasteful number, since it uses less digits than its factorization.

213212310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132123115 (or 2132123108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213212310100 its reverse (1013212312), we get a palindrome (214225522412).

The spelling of 213212310100 in words is "two hundred thirteen billion, two hundred twelve million, three hundred ten thousand, one hundred".