10002121013033 has 2 divisors, whose sum is σ = 10002121013034. Its totient is φ = 10002121013032.

The previous prime is 10002121013029. The next prime is 10002121013051. The reversal of 10002121013033 is 33031012120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9757895280169 + 244225732864 = 3123763^2 + 494192^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002121013033 - 2² = 10002121013029 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002121010033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060506516 + 5001060506517.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060506517).

Almost surely, 2^{10002121013033} is an apocalyptic number.

It is an amenable number.

10002121013033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002121013033 is an equidigital number, since it uses as much as digits as its factorization.

10002121013033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10002121013033 its reverse (33031012120001), we get a palindrome (43033133133034).

The spelling of 10002121013033 in words is "ten trillion, two billion, one hundred twenty-one million, thirteen thousand, thirty-three".