205415214121 has 32 divisors (see below), whose sum is σ = 237587696640. Its totient is φ = 175996364544.

The previous prime is 205415214107. The next prime is 205415214127. The reversal of 205415214121 is 121412514502.

It is not a de Polignac number, because 205415214121 - 2¹³ = 205415205929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205415214121.

It is not an unprimeable number, because it can be changed into a prime (205415214127) 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, 9585000 + ... + 9606406.

It is an arithmetic number, because the mean of its divisors is an integer number (7424615520).

Almost surely, 2^205415214121 is an apocalyptic number.

It is an amenable number.

205415214121 is a deficient number, since it is larger than the sum of its proper divisors (32172482519).

205415214121 is a wasteful number, since it uses less digits than its factorization.

205415214121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22225.

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 205415214121 its reverse (121412514502), we get a palindrome (326827728623).

The spelling of 205415214121 in words is "two hundred five billion, four hundred fifteen million, two hundred fourteen thousand, one hundred twenty-one".