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212002120021 is a prime number
BaseRepresentation
bin1100010101110001001…
…1111010000101010101
3202021012210101112222011
43011130103322011111
511433140020320041
6241220433104221
721213416200366
oct3053423720525
9667183345864
10212002120021
1181a0074065a
12351070b8071
1316cb7a46943
14a3920d1b6d
1557abeb2e81
hex315c4fa155

212002120021 has 2 divisors, whose sum is σ = 212002120022. Its totient is φ = 212002120020.

The previous prime is 212002120019. The next prime is 212002120037. The reversal of 212002120021 is 120021200212.

It is a happy number.

212002120021 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., 187823424996 + 24178695025 = 433386^2 + 155495^2 .

It is a cyclic number.

It is not a de Polignac number, because 212002120021 - 21 = 212002120019 is a prime.

Together with 212002120019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212002119983 and 212002120010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212002120321) 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, 106001060010 + 106001060011.

It is an arithmetic number, because the mean of its divisors is an integer number (106001060011).

Almost surely, 2212002120021 is an apocalyptic number.

It is an amenable number.

212002120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002120021 is an equidigital number, since it uses as much as digits as its factorization.

212002120021 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 212002120021 its reverse (120021200212), we get a palindrome (332023320233).

It can be divided in two parts, 2 and 12002120021, that multiplied together give a palindrome (24004240042).

The spelling of 212002120021 in words is "two hundred twelve billion, two million, one hundred twenty thousand, twenty-one".