1002100001321 has 2 divisors, whose sum is σ = 1002100001322. Its totient is φ = 1002100001320.

The previous prime is 1002100001293. The next prime is 1002100001339. The reversal of 1002100001321 is 1231000012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 907134334096 + 94965667225 = 952436^2 + 308165^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002100001321 - 2¹⁴ = 1002099984937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002100001621) 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, 501050000660 + 501050000661.

It is an arithmetic number, because the mean of its divisors is an integer number (501050000661).

Almost surely, 2^{1002100001321} is an apocalyptic number.

It is an amenable number.

1002100001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002100001321 is an equidigital number, since it uses as much as digits as its factorization.

1002100001321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1002100001321 its reverse (1231000012001), we get a palindrome (2233100013322).

The spelling of 1002100001321 in words is "one trillion, two billion, one hundred million, one thousand, three hundred twenty-one".