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211212101 is a prime number
BaseRepresentation
bin11001001011011…
…01011101000101
3112201102200112102
430211231131011
5413032241401
632543001445
75143162502
oct1445553505
9481380472
10211212101
11a9250861
125a899285
13349b1799
14200a04a9
151382156b
hexc96d745

211212101 has 2 divisors, whose sum is σ = 211212102. Its totient is φ = 211212100.

The previous prime is 211212091. The next prime is 211212121. The reversal of 211212101 is 101212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207331201 + 3880900 = 14399^2 + 1970^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212101 - 214 = 211195717 is a prime.

It is a super-2 number, since 2×2112121012 = 89221103217668402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211212121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606050 + 105606051.

It is an arithmetic number, because the mean of its divisors is an integer number (105606051).

Almost surely, 2211212101 is an apocalyptic number.

It is an amenable number.

211212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212101 is an equidigital number, since it uses as much as digits as its factorization.

211212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 211212101 is about 14533.1380300333. The cubic root of 211212101 is about 595.5335947244.

Adding to 211212101 its sum of digits (11), we get a palindrome (211212112).

Adding to 211212101 its reverse (101212112), we get a palindrome (312424213).

The spelling of 211212101 in words is "two hundred eleven million, two hundred twelve thousand, one hundred one".