1002102110221 has 2 divisors, whose sum is σ = 1002102110222. Its totient is φ = 1002102110220.

The previous prime is 1002102110189. The next prime is 1002102110293. The reversal of 1002102110221 is 1220112012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 645829213225 + 356272896996 = 803635^2 + 596886^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002102110221 - 2⁵ = 1002102110189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002102110021) 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, 501051055110 + 501051055111.

It is an arithmetic number, because the mean of its divisors is an integer number (501051055111).

Almost surely, 2^{1002102110221} is an apocalyptic number.

It is an amenable number.

1002102110221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002102110221 is an equidigital number, since it uses as much as digits as its factorization.

1002102110221 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 1002102110221 its reverse (1220112012001), we get a palindrome (2222214122222).

The spelling of 1002102110221 in words is "one trillion, two billion, one hundred two million, one hundred ten thousand, two hundred twenty-one".