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20121100211 is a prime number
BaseRepresentation
bin10010101111010011…
…111001111110110011
31220221021101210111202
4102233103321332303
5312202000201321
613124333001415
71311422346512
oct225723717663
956837353452
1020121100211
118595922443
123a9662326b
131b887c8574
14d8c40a679
157cb6dc70b
hex4af4f9fb3

20121100211 has 2 divisors, whose sum is σ = 20121100212. Its totient is φ = 20121100210.

The previous prime is 20121100177. The next prime is 20121100213. The reversal of 20121100211 is 11200112102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20121100211 - 230 = 19047358387 is a prime.

It is a super-2 number, since 2×201211002112 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 20121100213, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121100192 and 20121100201.

It is not a weakly prime, because it can be changed into another prime (20121100213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060550105 + 10060550106.

It is an arithmetic number, because the mean of its divisors is an integer number (10060550106).

Almost surely, 220121100211 is an apocalyptic number.

20121100211 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121100211 is an equidigital number, since it uses as much as digits as its factorization.

20121100211 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.

Adding to 20121100211 its reverse (11200112102), we get a palindrome (31321212313).

The spelling of 20121100211 in words is "twenty billion, one hundred twenty-one million, one hundred thousand, two hundred eleven".