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1002221210033 is a prime number
BaseRepresentation
bin11101001010110010000…
…10100000100110110001
310112210220112000120211022
432211121002200212301
5112410022112210113
62044225234425225
7132256655504021
oct16453102404661
93483815016738
101002221210033
1135704882196a
121422a1a32215
13736805152c4
1436717445a81
151b10b772908
hexe9590a09b1

1002221210033 has 2 divisors, whose sum is σ = 1002221210034. Its totient is φ = 1002221210032.

The previous prime is 1002221209999. The next prime is 1002221210069. The reversal of 1002221210033 is 3300121222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 955013653504 + 47207556529 = 977248^2 + 217273^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002221210033 - 210 = 1002221209009 is a prime.

It is a super-2 number, since 2×10022212100332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002221209993 and 1002221210020.

It is not a weakly prime, because it can be changed into another prime (1002221210933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501110605016 + 501110605017.

It is an arithmetic number, because the mean of its divisors is an integer number (501110605017).

Almost surely, 21002221210033 is an apocalyptic number.

It is an amenable number.

1002221210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002221210033 is an equidigital number, since it uses as much as digits as its factorization.

1002221210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1002221210033 its reverse (3300121222001), we get a palindrome (4302342432034).

The spelling of 1002221210033 in words is "one trillion, two billion, two hundred twenty-one million, two hundred ten thousand, thirty-three".