1002011100221 has 2 divisors, whose sum is σ = 1002011100222. Its totient is φ = 1002011100220.

The previous prime is 1002011100133. The next prime is 1002011100239. The reversal of 1002011100221 is 1220011102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 978494877721 + 23516222500 = 989189^2 + 153350^2 .

It is an emirp because it is prime and its reverse (1220011102001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002011100221 - 2¹⁸ = 1002010838077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002011100521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501005550110 + 501005550111.

It is an arithmetic number, because the mean of its divisors is an integer number (501005550111).

Almost surely, 2^{1002011100221} is an apocalyptic number.

It is an amenable number.

1002011100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002011100221 is an equidigital number, since it uses as much as digits as its factorization.

1002011100221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002011100221 its reverse (1220011102001), we get a palindrome (2222022202222).

The spelling of 1002011100221 in words is "one trillion, two billion, eleven million, one hundred thousand, two hundred twenty-one".