10000111102321 has 2 divisors, whose sum is σ = 10000111102322. Its totient is φ = 10000111102320.

The previous prime is 10000111102199. The next prime is 10000111102357. The reversal of 10000111102321 is 12320111100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7955671536400 + 2044439565921 = 2820580^2 + 1429839^2 .

It is an emirp because it is prime and its reverse (12320111100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000111102321 - 2²¹ = 10000109005169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000111102361) 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, 5000055551160 + 5000055551161.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055551161).

Almost surely, 2^{10000111102321} is an apocalyptic number.

It is an amenable number.

10000111102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111102321 is an equidigital number, since it uses as much as digits as its factorization.

10000111102321 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 13.

Adding to 10000111102321 its reverse (12320111100001), we get a palindrome (22320222202322).

The spelling of 10000111102321 in words is "ten trillion, one hundred eleven million, one hundred two thousand, three hundred twenty-one".