212120121111100 has 72 divisors (see below), whose sum is σ = 463854745771200. Its totient is φ = 84194060363520.

The previous prime is 212120121111097. The next prime is 212120121111133. The reversal of 212120121111100 is 1111121021212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7715757 + ... + 21994843.

It is an arithmetic number, because the mean of its divisors is an integer number (6442427024600).

Almost surely, 2^{212120121111100} is an apocalyptic number.

212120121111100 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 212120121111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231927372885600).

212120121111100 is an abundant number, since it is smaller than the sum of its proper divisors (251734624660100).

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

212120121111100 is a wasteful number, since it uses less digits than its factorization.

212120121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280247 (or 14280240 counting only the distinct ones).

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

Adding to 212120121111100 its reverse (1111121021212), we get a palindrome (213231242132312).

The spelling of 212120121111100 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".