201020220212020 has 768 divisors, whose sum is σ = 492933808604160. Its totient is φ = 68223762432000.

The previous prime is 201020220211999. The next prime is 201020220212029. The reversal of 201020220212020 is 20212022020102.

201020220212020 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 = 201020220211985 and 201020220212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020220212029) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1041555545044 + ... + 1041555545236.

It is an arithmetic number, because the mean of its divisors is an integer number (641840896620).

Almost surely, 2^{201020220212020} is an apocalyptic number.

201020220212020 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 201020220212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246466904302080).

201020220212020 is an abundant number, since it is smaller than the sum of its proper divisors (291913588392140).

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

201020220212020 is a wasteful number, since it uses less digits than its factorization.

201020220212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201020220212020 its reverse (20212022020102), we get a palindrome (221232242232122).

It can be divided in two parts, 2010202 and 20212020, that added together give a palindrome (22222222).

The spelling of 201020220212020 in words is "two hundred one trillion, twenty billion, two hundred twenty million, two hundred twelve thousand, twenty".