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21222021022001 is a prime number
BaseRepresentation
bin1001101001101001000110…
…00001100100000100110001
32210010210202010121102212122
410310310203001210010301
510240200144340201001
6113045132321404025
74320145315230152
oct464644301440461
983123663542778
1021222021022001
116842232678968
122468b77a99615
13bac2c6ba1077
14535219239929
1526c077e53b1b
hex134d23064131

21222021022001 has 2 divisors, whose sum is σ = 21222021022002. Its totient is φ = 21222021022000.

The previous prime is 21222021021997. The next prime is 21222021022003. The reversal of 21222021022001 is 10022012022212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13551226077601 + 7670794944400 = 3681199^2 + 2769620^2 .

It is a cyclic number.

It is not a de Polignac number, because 21222021022001 - 22 = 21222021021997 is a prime.

Together with 21222021022003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21222021022003) 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, 10611010511000 + 10611010511001.

It is an arithmetic number, because the mean of its divisors is an integer number (10611010511001).

Almost surely, 221222021022001 is an apocalyptic number.

It is an amenable number.

21222021022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222021022001 is an equidigital number, since it uses as much as digits as its factorization.

21222021022001 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 21222021022001 its reverse (10022012022212), we get a palindrome (31244033044213).

The spelling of 21222021022001 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, twenty-two thousand, one".