212221102100 has 108 divisors (see below), whose sum is σ = 539926442496. Its totient is φ = 72188383680.

The previous prime is 212221102099. The next prime is 212221102123. The reversal of 212221102100 is 1201122212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451787 + ... + 792813.

It is an arithmetic number, because the mean of its divisors is an integer number (4999318912).

Almost surely, 2^212221102100 is an apocalyptic number.

212221102100 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 212221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269963221248).

212221102100 is an abundant number, since it is smaller than the sum of its proper divisors (327705340396).

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

212221102100 is a wasteful number, since it uses less digits than its factorization.

212221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341182 (or 341168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221102100 its reverse (1201122212), we get a palindrome (213422224312).

The spelling of 212221102100 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred".