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222221021101201 is a prime number
BaseRepresentation
bin110010100001101111011101…
…000001100011110010010001
31002010211010022001010200110101
4302201233131001203302101
5213111332122400214301
62104342532221532401
764543640030243023
oct6241573501436221
91063733261120411
10222221021101201
1164896451137881
1220b0bb0a414101
1396cc477218665
143cc37aa57a013
151aa572aa91701
hexca1bdd063c91

222221021101201 has 2 divisors, whose sum is σ = 222221021101202. Its totient is φ = 222221021101200.

The previous prime is 222221021101181. The next prime is 222221021101229. The reversal of 222221021101201 is 102101120122222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179354342120976 + 42866678980225 = 13392324^2 + 6547265^2 .

It is a cyclic number.

It is not a de Polignac number, because 222221021101201 - 215 = 222221021068433 is a prime.

It is not a weakly prime, because it can be changed into another prime (222221021105201) 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, 111110510550600 + 111110510550601.

It is an arithmetic number, because the mean of its divisors is an integer number (111110510550601).

Almost surely, 2222221021101201 is an apocalyptic number.

It is an amenable number.

222221021101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

222221021101201 is an equidigital number, since it uses as much as digits as its factorization.

222221021101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222221021101201 its reverse (102101120122222), we get a palindrome (324322141223423).

The spelling of 222221021101201 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twenty-one million, one hundred one thousand, two hundred one".