212133032100 has 216 divisors, whose sum is σ = 725755736160. Its totient is φ = 51398592000.

The previous prime is 212133032099. The next prime is 212133032117. The reversal of 212133032100 is 1230331212.

212133032100 is a `hidden beast` number, since 2 + 12 + 1 + 330 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23151520 + ... + 23160680.

It is an arithmetic number, because the mean of its divisors is an integer number (3359980260).

Almost surely, 2^212133032100 is an apocalyptic number.

212133032100 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 212133032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362877868080).

212133032100 is an abundant number, since it is smaller than the sum of its proper divisors (513622704060).

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

212133032100 is a wasteful number, since it uses less digits than its factorization.

212133032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212133032100 its reverse (1230331212), we get a palindrome (213363363312).

The spelling of 212133032100 in words is "two hundred twelve billion, one hundred thirty-three million, thirty-two thousand, one hundred".