9821008201 has 9 divisors (see below), whose sum is σ = 9920000181. Its totient is φ = 9722997312.

The previous prime is 9821008157. The next prime is 9821008213. The reversal of 9821008201 is 1028001289.

It is a happy number.

The square root of 9821008201 is 99101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 723663801 + 9097344400 = 26901^2 + 95380^2 .

It is not a de Polignac number, because 9821008201 - 2¹⁹ = 9820483913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9821008231) 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 8 ways as a sum of consecutive naturals, for example, 11197975 + ... + 11198851.

Almost surely, 2^9821008201 is an apocalyptic number.

9821008201 is the 99101-st square number.

9821008201 is the 49551-st centered octagonal number.

It is an amenable number.

9821008201 is a deficient number, since it is larger than the sum of its proper divisors (98991980).

9821008201 is an frugal number, since it uses more digits than its factorization.

9821008201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The cubic root of 9821008201 is about 2141.5030202329.

Multiplying 9821008201 by its product of nonzero digits (2304), we get a square (22627602895104 = 4756848²).

The spelling of 9821008201 in words is "nine billion, eight hundred twenty-one million, eight thousand, two hundred one".