201020010000220 has 96 divisors (see below), whose sum is σ = 437854556160000. Its totient is φ = 77440890481920.

The previous prime is 201020010000211. The next prime is 201020010000223. The reversal of 201020010000220 is 22000010020102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201020010000197 and 201020010000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020010000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118457281 + ... + 120142279.

It is an arithmetic number, because the mean of its divisors is an integer number (4560984960000).

Almost surely, 2^{201020010000220} is an apocalyptic number.

201020010000220 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 201020010000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218927278080000).

201020010000220 is an abundant number, since it is smaller than the sum of its proper divisors (236834546159780).

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

201020010000220 is a wasteful number, since it uses less digits than its factorization.

201020010000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685963 (or 1685961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201020010000220 its reverse (22000010020102), we get a palindrome (223020020020322).

The spelling of 201020010000220 in words is "two hundred one trillion, twenty billion, ten million, two hundred twenty", and thus it is an aban number.