201021022100220 has 576 divisors, whose sum is σ = 690112712540160. Its totient is φ = 43506981923328.

The previous prime is 201021022100201. The next prime is 201021022100221. The reversal of 201021022100220 is 22001220120102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201021022100220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021022100221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34427300061 + ... + 34427305899.

It is an arithmetic number, because the mean of its divisors is an integer number (1198112348160).

Almost surely, 2^{201021022100220} is an apocalyptic number.

201021022100220 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 201021022100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345056356270080).

201021022100220 is an abundant number, since it is smaller than the sum of its proper divisors (489091690439940).

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

201021022100220 is a wasteful number, since it uses less digits than its factorization.

201021022100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201021022100220 its reverse (22001220120102), we get a palindrome (223022242220322).

The spelling of 201021022100220 in words is "two hundred one trillion, twenty-one billion, twenty-two million, one hundred thousand, two hundred twenty".