221302244220129 has 24 divisors (see below), whose sum is σ = 333636067776960. Its totient is φ = 141086822370912.

The previous prime is 221302244220103. The next prime is 221302244220151. The reversal of 221302244220129 is 921022442203122.

221302244220129 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 2 + 2 + 442 + 201 + 2 + 9 = 666.

It is not a de Polignac number, because 221302244220129 - 2⁸ = 221302244219873 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221302244220093 and 221302244220102.

It is not an unprimeable number, because it can be changed into a prime (221302244224129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125826474 + ... + 127573139.

It is an arithmetic number, because the mean of its divisors is an integer number (13901502824040).

Almost surely, 2^{221302244220129} is an apocalyptic number.

It is an amenable number.

221302244220129 is a deficient number, since it is larger than the sum of its proper divisors (112333823556831).

221302244220129 is a wasteful number, since it uses less digits than its factorization.

221302244220129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253403861 (or 253403858 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 221302244220129 in words is "two hundred twenty-one trillion, three hundred two billion, two hundred forty-four million, two hundred twenty thousand, one hundred twenty-nine".