221330101305121 has 2 divisors, whose sum is σ = 221330101305122. Its totient is φ = 221330101305120.

The previous prime is 221330101305119. The next prime is 221330101305163. The reversal of 221330101305121 is 121503101033122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202034384654400 + 19295716650721 = 14213880^2 + 4392689^2 .

It is a cyclic number.

It is not a de Polignac number, because 221330101305121 - 2¹ = 221330101305119 is a prime.

Together with 221330101305119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221330101305421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110665050652560 + 110665050652561.

It is an arithmetic number, because the mean of its divisors is an integer number (110665050652561).

Almost surely, 2^{221330101305121} is an apocalyptic number.

It is an amenable number.

221330101305121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221330101305121 is an equidigital number, since it uses as much as digits as its factorization.

221330101305121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 221330101305121 its reverse (121503101033122), we get a palindrome (342833202338243).

The spelling of 221330101305121 in words is "two hundred twenty-one trillion, three hundred thirty billion, one hundred one million, three hundred five thousand, one hundred twenty-one".