212120211100 has 216 divisors, whose sum is σ = 549128780592. Its totient is φ = 70892236800.

The previous prime is 212120211067. The next prime is 212120211137. The reversal of 212120211100 is 1112021212.

212120211100 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 71 ways as a sum of consecutive naturals, for example, 31841770 + ... + 31848430.

Almost surely, 2^212120211100 is an apocalyptic number.

212120211100 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 212120211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274564390296).

212120211100 is an abundant number, since it is smaller than the sum of its proper divisors (337008569492).

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

212120211100 is a wasteful number, since it uses less digits than its factorization.

212120211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212120211100 its reverse (1112021212), we get a palindrome (213232232312).

The spelling of 212120211100 in words is "two hundred twelve billion, one hundred twenty million, two hundred eleven thousand, one hundred".