212341220100 has 216 divisors, whose sum is σ = 680438199168. Its totient is φ = 55362067200.

The previous prime is 212341220059. The next prime is 212341220171. The reversal of 212341220100 is 1022143212.

It is a happy number.

212341220100 is a `hidden beast` number, since 2 + 1 + 2 + 341 + 220 + 100 = 666.

212341220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 54015135 + ... + 54019065.

It is an arithmetic number, because the mean of its divisors is an integer number (3150176848).

Almost surely, 2^212341220100 is an apocalyptic number.

212341220100 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 212341220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340219099584).

212341220100 is an abundant number, since it is smaller than the sum of its proper divisors (468096979068).

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

212341220100 is a wasteful number, since it uses less digits than its factorization.

212341220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212341220100 its reverse (1022143212), we get a palindrome (213363363312).

The spelling of 212341220100 in words is "two hundred twelve billion, three hundred forty-one million, two hundred twenty thousand, one hundred".