1001012201221 has 2 divisors, whose sum is σ = 1001012201222. Its totient is φ = 1001012201220.

The previous prime is 1001012201213. The next prime is 1001012201249. The reversal of 1001012201221 is 1221022101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 656284692996 + 344727508225 = 810114^2 + 587135^2 .

It is an emirp because it is prime and its reverse (1221022101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001012201221 - 2³ = 1001012201213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001012201251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500506100610 + 500506100611.

It is an arithmetic number, because the mean of its divisors is an integer number (500506100611).

Almost surely, 2^{1001012201221} is an apocalyptic number.

It is an amenable number.

1001012201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001012201221 is an equidigital number, since it uses as much as digits as its factorization.

1001012201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001012201221 its reverse (1221022101001), we get a palindrome (2222034302222).

The spelling of 1001012201221 in words is "one trillion, one billion, twelve million, two hundred one thousand, two hundred twenty-one".