221205201 has 32 divisors (see below), whose sum is σ = 363095040. Its totient is φ = 116956224.

The previous prime is 221205161. The next prime is 221205223. The reversal of 221205201 is 102502122.

It is not a de Polignac number, because 221205201 - 2⁶ = 221205137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221205401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10711 + ... + 23603.

It is an arithmetic number, because the mean of its divisors is an integer number (11346720).

Almost surely, 2^221205201 is an apocalyptic number.

221205201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221205201 is a deficient number, since it is larger than the sum of its proper divisors (141889839).

221205201 is a wasteful number, since it uses less digits than its factorization.

221205201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 221205201 is about 14872.9688024954. The cubic root of 221205201 is about 604.7814259495.

Adding to 221205201 its reverse (102502122), we get a palindrome (323707323).

The spelling of 221205201 in words is "two hundred twenty-one million, two hundred five thousand, two hundred one".