212021331100 has 72 divisors (see below), whose sum is σ = 468303026688. Its totient is φ = 83307168000.

The previous prime is 212021331077. The next prime is 212021331131. The reversal of 212021331100 is 1133120212.

212021331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1200054 + ... + 1365346.

It is an arithmetic number, because the mean of its divisors is an integer number (6504208704).

Almost surely, 2^212021331100 is an apocalyptic number.

212021331100 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 212021331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234151513344).

212021331100 is an abundant number, since it is smaller than the sum of its proper divisors (256281695588).

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

212021331100 is a wasteful number, since it uses less digits than its factorization.

212021331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165535 (or 165528 counting only the distinct ones).

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

Adding to 212021331100 its reverse (1133120212), we get a palindrome (213154451312).

The spelling of 212021331100 in words is "two hundred twelve billion, twenty-one million, three hundred thirty-one thousand, one hundred".