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11002121220221 is a prime number
BaseRepresentation
bin1010000000011010000110…
…0001101111000001111101
31102221210101202002211102022
42200012201201233001331
52420224321013021341
635222145452405525
72213606551230665
oct240064141570175
942853352084368
1011002121220221
113561a7867107a
1212983501768a5
1361a659a31851
142a07111871a5
151412cca13e4b
hexa01a186f07d

11002121220221 has 2 divisors, whose sum is σ = 11002121220222. Its totient is φ = 11002121220220.

The previous prime is 11002121220197. The next prime is 11002121220257. The reversal of 11002121220221 is 12202212120011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5654950584196 + 5347170636025 = 2378014^2 + 2312395^2 .

It is an emirp because it is prime and its reverse (12202212120011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11002121220221 - 26 = 11002121220157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11002121220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11002121220421) 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, 5501060610110 + 5501060610111.

It is an arithmetic number, because the mean of its divisors is an integer number (5501060610111).

Almost surely, 211002121220221 is an apocalyptic number.

It is an amenable number.

11002121220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002121220221 is an equidigital number, since it uses as much as digits as its factorization.

11002121220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11002121220221 its reverse (12202212120011), we get a palindrome (23204333340232).

The spelling of 11002121220221 in words is "eleven trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".