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212011100201 is a prime number
BaseRepresentation
bin1100010101110011011…
…0001010100000101001
3202021020102021210110102
43011130312022200221
511433144320201301
6241221353355145
721213555421565
oct3053466124051
9667212253412
10212011100201
1181a0581459a
123510a108ab5
1316cb986c264
14a39338c6a5
1557acb88b6b
hex315cd8a829

212011100201 has 2 divisors, whose sum is σ = 212011100202. Its totient is φ = 212011100200.

The previous prime is 212011100167. The next prime is 212011100207. The reversal of 212011100201 is 102001110212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146477660176 + 65533440025 = 382724^2 + 255995^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011100201 - 222 = 212006905897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212011100207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005550100 + 106005550101.

It is an arithmetic number, because the mean of its divisors is an integer number (106005550101).

Almost surely, 2212011100201 is an apocalyptic number.

It is an amenable number.

212011100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011100201 is an equidigital number, since it uses as much as digits as its factorization.

212011100201 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 212011100201 its reverse (102001110212), we get a palindrome (314012210413).

The spelling of 212011100201 in words is "two hundred twelve billion, eleven million, one hundred thousand, two hundred one".