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212220102001 is a prime number
BaseRepresentation
bin1100010110100101001…
…1011100010101110001
3202021202222120012000211
43011221103130111301
511434111321231001
6241254221144121
721222004050355
oct3055123342561
9667688505024
10212220102001
1182002795756
12351680bb041
1317020c5896b
14a3b3035465
1557c11c0351
hex31694dc571

212220102001 has 2 divisors, whose sum is σ = 212220102002. Its totient is φ = 212220102000.

The previous prime is 212220101999. The next prime is 212220102023. The reversal of 212220102001 is 100201022212.

It is a happy number.

212220102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166712973025 + 45507128976 = 408305^2 + 213324^2 .

It is a cyclic number.

It is not a de Polignac number, because 212220102001 - 21 = 212220101999 is a prime.

Together with 212220101999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212220202001) 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, 106110051000 + 106110051001.

It is an arithmetic number, because the mean of its divisors is an integer number (106110051001).

Almost surely, 2212220102001 is an apocalyptic number.

It is an amenable number.

212220102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212220102001 is an equidigital number, since it uses as much as digits as its factorization.

212220102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212220102001 its reverse (100201022212), we get a palindrome (312421124213).

The spelling of 212220102001 in words is "two hundred twelve billion, two hundred twenty million, one hundred two thousand, one".