212211100 has 36 divisors (see below), whose sum is σ = 465079608. Its totient is φ = 84040000.

The previous prime is 212211059. The next prime is 212211101. The reversal of 212211100 is 1112212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 20605.

It is an arithmetic number, because the mean of its divisors is an integer number (12918878).

Almost surely, 2^212211100 is an apocalyptic number.

212211100 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 212211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232539804).

212211100 is an abundant number, since it is smaller than the sum of its proper divisors (252868508).

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

212211100 is a wasteful number, since it uses less digits than its factorization.

212211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21126 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 212211100 is about 14567.4671786141. The cubic root of 212211100 is about 596.4710440685.

Adding to 212211100 its reverse (1112212), we get a palindrome (213323312).

The spelling of 212211100 in words is "two hundred twelve million, two hundred eleven thousand, one hundred".