205201121 has 8 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 188129520.

The previous prime is 205201103. The next prime is 205201141. The reversal of 205201121 is 121102502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205201121 - 2¹⁰ = 205200097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205201096 and 205201105.

It is not an unprimeable number, because it can be changed into a prime (205201141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173606 + ... + 174783.

It is an arithmetic number, because the mean of its divisors is an integer number (27871200).

Almost surely, 2^205201121 is an apocalyptic number.

It is an amenable number.

205201121 is a deficient number, since it is larger than the sum of its proper divisors (17768479).

205201121 is a wasteful number, since it uses less digits than its factorization.

205201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348439.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 205201121 is about 14324.8427914585. The cubic root of 205201121 is about 589.8296175635.

Adding to 205201121 its reverse (121102502), we get a palindrome (326303623).

The spelling of 205201121 in words is "two hundred five million, two hundred one thousand, one hundred twenty-one".