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221201171201 is a prime number
BaseRepresentation
bin1100111000000010011…
…1100000001100000001
3210010221220000202212102
43032000213200030001
512111004444434301
6245341324440145
721660366634523
oct3160047401401
9703856022772
10221201171201
11858a132699a
1236a539a9055
1317b2280b3aa
14a9c5b1da13
155b498acb6b
hex33809e0301

221201171201 has 2 divisors, whose sum is σ = 221201171202. Its totient is φ = 221201171200.

The previous prime is 221201171179. The next prime is 221201171209. The reversal of 221201171201 is 102171102122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141112171201 + 80089000000 = 375649^2 + 283000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221201171201 is a prime.

It is a super-2 number, since 2×2212011712012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221201171209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110600585600 + 110600585601.

It is an arithmetic number, because the mean of its divisors is an integer number (110600585601).

Almost surely, 2221201171201 is an apocalyptic number.

It is an amenable number.

221201171201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221201171201 is an equidigital number, since it uses as much as digits as its factorization.

221201171201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 221201171201 its reverse (102171102122), we get a palindrome (323372273323).

The spelling of 221201171201 in words is "two hundred twenty-one billion, two hundred one million, one hundred seventy-one thousand, two hundred one".