10002111101321 has 2 divisors, whose sum is σ = 10002111101322. Its totient is φ = 10002111101320.

The previous prime is 10002111101317. The next prime is 10002111101327. The reversal of 10002111101321 is 12310111120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9629322703225 + 372788398096 = 3103115^2 + 610564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111101321 - 2² = 10002111101317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002111101296 and 10002111101305.

It is not a weakly prime, because it can be changed into another prime (10002111101327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055550660 + 5001055550661.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055550661).

Almost surely, 2^{10002111101321} is an apocalyptic number.

It is an amenable number.

10002111101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111101321 is an equidigital number, since it uses as much as digits as its factorization.

10002111101321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10002111101321 its reverse (12310111120001), we get a palindrome (22312222221322).

The spelling of 10002111101321 in words is "ten trillion, two billion, one hundred eleven million, one hundred one thousand, three hundred twenty-one".