10002012002033 has 2 divisors, whose sum is σ = 10002012002034. Its totient is φ = 10002012002032.

The previous prime is 10002012002029. The next prime is 10002012002041. The reversal of 10002012002033 is 33020021020001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9752954112784 + 249057889249 = 3122972^2 + 499057^2 .

It is an emirp because it is prime and its reverse (33020021020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002012002033 - 2² = 10002012002029 is a prime.

It is a super-2 number, since 2×10002012002033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002012001999 and 10002012002017.

It is not a weakly prime, because it can be changed into another prime (10002012052033) 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, 5001006001016 + 5001006001017.

It is an arithmetic number, because the mean of its divisors is an integer number (5001006001017).

Almost surely, 2^{10002012002033} is an apocalyptic number.

It is an amenable number.

10002012002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002012002033 is an equidigital number, since it uses as much as digits as its factorization.

10002012002033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10002012002033 its reverse (33020021020001), we get a palindrome (43022033022034).

The spelling of 10002012002033 in words is "ten trillion, two billion, twelve million, two thousand, thirty-three".