212201100020 has 192 divisors, whose sum is σ = 559678533120. Its totient is φ = 65788250112.

The previous prime is 212201100011. The next prime is 212201100071. The reversal of 212201100020 is 20001102212.

It is a happy number.

212201100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212201099974 and 212201100010.

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 63 ways as a sum of consecutive naturals, for example, 82279091 + ... + 82281669.

It is an arithmetic number, because the mean of its divisors is an integer number (2914992360).

Almost surely, 2^212201100020 is an apocalyptic number.

212201100020 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 212201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279839266560).

212201100020 is an abundant number, since it is smaller than the sum of its proper divisors (347477433100).

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

212201100020 is a wasteful number, since it uses less digits than its factorization.

212201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212201100020 its reverse (20001102212), we get a palindrome (232202202232).

The spelling of 212201100020 in words is "two hundred twelve billion, two hundred one million, one hundred thousand, twenty".