212201101000020 has 192 divisors, whose sum is σ = 650841159628800. Its totient is φ = 51231471229440.

The previous prime is 212201100999989. The next prime is 212201101000033. The reversal of 212201101000020 is 20000101102212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457643937 + ... + 458107383.

It is an arithmetic number, because the mean of its divisors is an integer number (3389797706400).

Almost surely, 2^{212201101000020} is an apocalyptic number.

212201101000020 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 212201101000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325420579814400).

212201101000020 is an abundant number, since it is smaller than the sum of its proper divisors (438640058628780).

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

212201101000020 is a wasteful number, since it uses less digits than its factorization.

212201101000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466318 (or 466316 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212201101000020 its reverse (20000101102212), we get a palindrome (232201202102232).

The spelling of 212201101000020 in words is "two hundred twelve trillion, two hundred one billion, one hundred one million, twenty", and thus it is an aban number.