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212201228201 is a prime number
BaseRepresentation
bin1100010110100000101…
…1011100011110101001
3202021201200001022001012
43011220023130132221
511434042003300301
6241252304433305
721221354451614
oct3055013343651
9667650038035
10212201228201
1181aa3074576
1235161918835
131701a07b031
14a3b072117b
1557be6e2ebb
hex31682dc7a9

212201228201 has 2 divisors, whose sum is σ = 212201228202. Its totient is φ = 212201228200.

The previous prime is 212201228137. The next prime is 212201228221. The reversal of 212201228201 is 102822102212.

It is a happy number.

212201228201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211986576400 + 214651801 = 460420^2 + 14651^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201228201 - 26 = 212201228137 is a prime.

It is a super-2 number, since 2×2122012282012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212201228221) 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, 106100614100 + 106100614101.

It is an arithmetic number, because the mean of its divisors is an integer number (106100614101).

Almost surely, 2212201228201 is an apocalyptic number.

It is an amenable number.

212201228201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201228201 is an equidigital number, since it uses as much as digits as its factorization.

212201228201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

It can be divided in two parts, 21220 and 1228201, that added together give a palindrome (1249421).

The spelling of 212201228201 in words is "two hundred twelve billion, two hundred one million, two hundred twenty-eight thousand, two hundred one".