205200121 has 16 divisors (see below), whose sum is σ = 240968448. Its totient is φ = 171072000.

The previous prime is 205200119. The next prime is 205200131. The reversal of 205200121 is 121002502.

It is a cyclic number.

It is not a de Polignac number, because 205200121 - 2¹ = 205200119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205200131) 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, 114196 + ... + 115978.

It is an arithmetic number, because the mean of its divisors is an integer number (15060528).

Almost surely, 2^205200121 is an apocalyptic number.

It is an amenable number.

205200121 is a deficient number, since it is larger than the sum of its proper divisors (35768327).

205200121 is a wasteful number, since it uses less digits than its factorization.

205200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 205200121 is about 14324.8078870189. The cubic root of 205200121 is about 589.8286594294.

Adding to 205200121 its reverse (121002502), we get a palindrome (326202623).

The spelling of 205200121 in words is "two hundred five million, two hundred thousand, one hundred twenty-one".