212212333100 has 72 divisors (see below), whose sum is σ = 468928174176. Its totient is φ = 83341440000.

The previous prime is 212212333033. The next prime is 212212333139. The reversal of 212212333100 is 1333212212.

212212333100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212212333100² (a number of 23 digits) contains 22 as substring.

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

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, 1649090 + ... + 1773110.

It is an arithmetic number, because the mean of its divisors is an integer number (6512891308).

Almost surely, 2^212212333100 is an apocalyptic number.

212212333100 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 212212333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234464087088).

212212333100 is an abundant number, since it is smaller than the sum of its proper divisors (256715841076).

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

212212333100 is a wasteful number, since it uses less digits than its factorization.

212212333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124347 (or 124340 counting only the distinct ones).

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

Adding to 212212333100 its reverse (1333212212), we get a palindrome (213545545312).

The spelling of 212212333100 in words is "two hundred twelve billion, two hundred twelve million, three hundred thirty-three thousand, one hundred".