100221020220221 has 2 divisors, whose sum is σ = 100221020220222. Its totient is φ = 100221020220220.

The previous prime is 100221020220203. The next prime is 100221020220257. The reversal of 100221020220221 is 122022020122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60978450676900 + 39242569543321 = 7808870^2 + 6264389^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221020220221 - 2²² = 100221016025917 is a prime.

It is a super-3 number, since 3×100221020220221³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100221020220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221020220821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110510110110 + 50110510110111.

It is an arithmetic number, because the mean of its divisors is an integer number (50110510110111).

Almost surely, 2^{100221020220221} is an apocalyptic number.

It is an amenable number.

100221020220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221020220221 is an equidigital number, since it uses as much as digits as its factorization.

100221020220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100221020220221 its reverse (122022020122001), we get a palindrome (222243040342222).

The spelling of 100221020220221 in words is "one hundred trillion, two hundred twenty-one billion, twenty million, two hundred twenty thousand, two hundred twenty-one".