Search a number
-
+
2001221222201 is a prime number
BaseRepresentation
bin11101000111110010000…
…101000111111100111001
321002022111112210100212222
4131013302011013330321
5230242000113102301
64131203124013425
7264404061502445
oct35076205077471
97068445710788
102001221222201
11701793232133
12283a24b31275
13116939579366
146cc06b45825
15370ca30b31b
hex1d1f2147f39

2001221222201 has 2 divisors, whose sum is σ = 2001221222202. Its totient is φ = 2001221222200.

The previous prime is 2001221222197. The next prime is 2001221222219. The reversal of 2001221222201 is 1022221221002.

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., 1960417222201 + 40804000000 = 1400149^2 + 202000^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001221222201 - 22 = 2001221222197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001221222201.

It is not a weakly prime, because it can be changed into another prime (2001221422201) 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, 1000610611100 + 1000610611101.

It is an arithmetic number, because the mean of its divisors is an integer number (1000610611101).

Almost surely, 22001221222201 is an apocalyptic number.

It is an amenable number.

2001221222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001221222201 is an equidigital number, since it uses as much as digits as its factorization.

2001221222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2001221222201 its reverse (1022221221002), we get a palindrome (3023442443203).

The spelling of 2001221222201 in words is "two trillion, one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred one".