212133410300 has 144 divisors (see below), whose sum is σ = 557769800448. Its totient is φ = 68363136000.

The previous prime is 212133410243. The next prime is 212133410311. The reversal of 212133410300 is 3014331212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9353975 + ... + 9376625.

It is an arithmetic number, because the mean of its divisors is an integer number (3873401392).

Almost surely, 2^212133410300 is an apocalyptic number.

212133410300 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 212133410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278884900224).

212133410300 is an abundant number, since it is smaller than the sum of its proper divisors (345636390148).

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

212133410300 is a wasteful number, since it uses less digits than its factorization.

212133410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23476 (or 23469 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212133410300 its reverse (3014331212), we get a palindrome (215147741512).

The spelling of 212133410300 in words is "two hundred twelve billion, one hundred thirty-three million, four hundred ten thousand, three hundred".