201009216 has 56 divisors (see below), whose sum is σ = 535106880. Its totient is φ = 66591232.

The previous prime is 201009199. The next prime is 201009217. The reversal of 201009216 is 612900102.

It is a junction number, because it is equal to n+sod(n) for n = 201009192 and 201009201.

It is not an unprimeable number, because it can be changed into a prime (201009217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28930 + ... + 35198.

It is an arithmetic number, because the mean of its divisors is an integer number (9555480).

Almost surely, 2^201009216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267553440).

201009216 is an abundant number, since it is smaller than the sum of its proper divisors (334097664).

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

201009216 is a wasteful number, since it uses less digits than its factorization.

201009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 201009216 is about 14177.7718982921. The cubic root of 201009216 is about 585.7855528930.

Adding to 201009216 its reverse (612900102), we get a palindrome (813909318).

The spelling of 201009216 in words is "two hundred one million, nine thousand, two hundred sixteen".