201221000 has 64 divisors (see below), whose sum is σ = 486120960. Its totient is φ = 77880000.

The previous prime is 201220991. The next prime is 201221003. The reversal of 201221000 is 122102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (201221003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27755 + ... + 34245.

It is an arithmetic number, because the mean of its divisors is an integer number (7595640).

Almost surely, 2^201221000 is an apocalyptic number.

201221000 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 201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243060480).

201221000 is an abundant number, since it is smaller than the sum of its proper divisors (284899960).

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

201221000 is a wasteful number, since it uses less digits than its factorization.

201221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 201221000 is about 14185.2388065905. The cubic root of 201221000 is about 585.9912092396.

Adding to 201221000 its reverse (122102), we get a palindrome (201343102).

The spelling of 201221000 in words is "two hundred one million, two hundred twenty-one thousand".