211300120100020 has 144 divisors (see below), whose sum is σ = 518137649527680. Its totient is φ = 72170731750656.

The previous prime is 211300120100011. The next prime is 211300120100099. The reversal of 211300120100020 is 20001021003112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484100799 + ... + 484537081.

It is an arithmetic number, because the mean of its divisors is an integer number (3598178121720).

Almost surely, 2^{211300120100020} is an apocalyptic number.

211300120100020 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 211300120100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259068824763840).

211300120100020 is an abundant number, since it is smaller than the sum of its proper divisors (306837529427660).

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

211300120100020 is a wasteful number, since it uses less digits than its factorization.

211300120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438182 (or 438173 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211300120100020 its reverse (20001021003112), we get a palindrome (231301141103132).

The spelling of 211300120100020 in words is "two hundred eleven trillion, three hundred billion, one hundred twenty million, one hundred thousand, twenty".