205701121 has 12 divisors (see below), whose sum is σ = 220058608. Its totient is φ = 192160584.

The previous prime is 205701107. The next prime is 205701127. The reversal of 205701121 is 121107502.

It is not a de Polignac number, because 205701121 - 2⁷ = 205700993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205701127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18226 + ... + 27268.

It is a Proth number, since it is equal to 12555 ⋅ 2¹⁴ + 1 and 12555 < 2¹⁴.

Almost surely, 2^205701121 is an apocalyptic number.

It is an amenable number.

205701121 is a deficient number, since it is larger than the sum of its proper divisors (14357487).

205701121 is an equidigital number, since it uses as much as digits as its factorization.

205701121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 205701121 is about 14342.2843717450. The cubic root of 205701121 is about 590.3082952593.

Adding to 205701121 its reverse (121107502), we get a palindrome (326808623).

The spelling of 205701121 in words is "two hundred five million, seven hundred one thousand, one hundred twenty-one".