10002022010033 has 2 divisors, whose sum is σ = 10002022010034. Its totient is φ = 10002022010032.

The previous prime is 10002022010009. The next prime is 10002022010047. The reversal of 10002022010033 is 33001022020001.

It is a happy number.

It is an a-pointer prime, because the next prime (10002022010047) can be obtained adding 10002022010033 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9928221224464 + 73800785569 = 3150908^2 + 271663^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002022010033 - 2¹⁰ = 10002022009009 is a prime.

It is a super-2 number, since 2×10002022010033² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10002022015033) 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, 5001011005016 + 5001011005017.

It is an arithmetic number, because the mean of its divisors is an integer number (5001011005017).

Almost surely, 2^{10002022010033} is an apocalyptic number.

It is an amenable number.

10002022010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002022010033 is an equidigital number, since it uses as much as digits as its factorization.

10002022010033 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 10002022010033 its reverse (33001022020001), we get a palindrome (43003044030034).

The spelling of 10002022010033 in words is "ten trillion, two billion, twenty-two million, ten thousand, thirty-three".