1002122212321 has 2 divisors, whose sum is σ = 1002122212322. Its totient is φ = 1002122212320.

The previous prime is 1002122212211. The next prime is 1002122212367. The reversal of 1002122212321 is 1232122212001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817360646400 + 184761565921 = 904080^2 + 429839^2 .

It is an emirp because it is prime and its reverse (1232122212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002122212321 - 2¹³ = 1002122204129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002122212381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501061106160 + 501061106161.

It is an arithmetic number, because the mean of its divisors is an integer number (501061106161).

Almost surely, 2^{1002122212321} is an apocalyptic number.

It is an amenable number.

1002122212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002122212321 is an equidigital number, since it uses as much as digits as its factorization.

1002122212321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1002122212321 its reverse (1232122212001), we get a palindrome (2234244424322).

The spelling of 1002122212321 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty-one".