212133312100 has 18 divisors (see below), whose sum is σ = 460329287474. Its totient is φ = 84853324800.

The previous prime is 212133311993. The next prime is 212133312151. The reversal of 212133312100 is 1213331212.

It can be written as a sum of positive squares in 3 ways, for example, as 26386103844 + 185747208256 = 162438^2 + 430984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060666461 + ... + 1060666660.

Almost surely, 2^212133312100 is an apocalyptic number.

212133312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212133312100 is an abundant number, since it is smaller than the sum of its proper divisors (248195975374).

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

212133312100 is a wasteful number, since it uses less digits than its factorization.

212133312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121333135 (or 2121333128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 212133312100 its reverse (1213331212), we get a palindrome (213346643312).

The spelling of 212133312100 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred twelve thousand, one hundred".