1000221020221 has 2 divisors, whose sum is σ = 1000221020222. Its totient is φ = 1000221020220.

The previous prime is 1000221020207. The next prime is 1000221020233. The reversal of 1000221020221 is 1220201220001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 917742924121 + 82478096100 = 957989^2 + 287190^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000221020221 - 2²⁹ = 999684149309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000221090221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500110510110 + 500110510111.

It is an arithmetic number, because the mean of its divisors is an integer number (500110510111).

Almost surely, 2^{1000221020221} is an apocalyptic number.

It is an amenable number.

1000221020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221020221 is an equidigital number, since it uses as much as digits as its factorization.

1000221020221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1000221020221 its reverse (1220201220001), we get a palindrome (2220422240222).

The spelling of 1000221020221 in words is "one trillion, two hundred twenty-one million, twenty thousand, two hundred twenty-one".