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212000101 is a prime number
BaseRepresentation
bin11001010001011…
…01110101100101
3112202220201110121
430220231311211
5413233000401
633011521541
75152654045
oct1450556545
9482821417
10212000101
11a97398a5
125abb92b1
1334bc9361
1420227725
1513929ca1
hexca2dd65

212000101 has 2 divisors, whose sum is σ = 212000102. Its totient is φ = 212000100.

The previous prime is 212000099. The next prime is 212000137. The reversal of 212000101 is 101000212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186295201 + 25704900 = 13649^2 + 5070^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000101 - 21 = 212000099 is a prime.

Together with 212000099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000050 + 106000051.

It is an arithmetic number, because the mean of its divisors is an integer number (106000051).

Almost surely, 2212000101 is an apocalyptic number.

It is an amenable number.

212000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000101 is an equidigital number, since it uses as much as digits as its factorization.

212000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 212000101 is about 14560.2232469149. The cubic root of 212000101 is about 596.2732904655.

Adding to 212000101 its reverse (101000212), we get a palindrome (313000313).

The spelling of 212000101 in words is "two hundred twelve million, one hundred one", and thus it is an aban number.