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212000222101 is a prime number
BaseRepresentation
bin1100010101110000110…
…0101010101110010101
3202021012122211010111211
43011130030222232111
511433134024101401
6241220324301421
721213364104163
oct3053414525625
9667178733454
10212000222101
11819aa664728
1235106541871
1316cb7530b05
14a391b5a233
1557abc3a951
hex315c32ab95

212000222101 has 2 divisors, whose sum is σ = 212000222102. Its totient is φ = 212000222100.

The previous prime is 212000222059. The next prime is 212000222153. The reversal of 212000222101 is 101222000212.

It is a happy number.

212000222101 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., 147552783876 + 64447438225 = 384126^2 + 253865^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000222101 - 215 = 212000189333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212000220101) 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, 106000111050 + 106000111051.

It is an arithmetic number, because the mean of its divisors is an integer number (106000111051).

Almost surely, 2212000222101 is an apocalyptic number.

It is an amenable number.

212000222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000222101 is an equidigital number, since it uses as much as digits as its factorization.

212000222101 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 212000222101 its reverse (101222000212), we get a palindrome (313222222313).

The spelling of 212000222101 in words is "two hundred twelve billion, two hundred twenty-two thousand, one hundred one".