10002333201121 has 2 divisors, whose sum is σ = 10002333201122. Its totient is φ = 10002333201120.

The previous prime is 10002333201109. The next prime is 10002333201173. The reversal of 10002333201121 is 12110233320001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9534663230625 + 467669970496 = 3087825^2 + 683864^2 .

It is an emirp because it is prime and its reverse (12110233320001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002333201121 - 2⁹ = 10002333200609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002333201821) 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, 5001166600560 + 5001166600561.

It is an arithmetic number, because the mean of its divisors is an integer number (5001166600561).

Almost surely, 2^{10002333201121} is an apocalyptic number.

It is an amenable number.

10002333201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002333201121 is an equidigital number, since it uses as much as digits as its factorization.

10002333201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10002333201121 its reverse (12110233320001), we get a palindrome (22112566521122).

The spelling of 10002333201121 in words is "ten trillion, two billion, three hundred thirty-three million, two hundred one thousand, one hundred twenty-one".