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222122010001 is a prime number
BaseRepresentation
bin1100111011011110000…
…0001110010110010001
3210020100001202020020011
43032313200032112101
512114401213310001
6250012541314521
722022250634663
oct3166740162621
9706301666204
10222122010001
11862240a17a1
1237070265a41
1317c3b51cc18
14aa72142533
155ba0653d51
hex33b780e591

222122010001 has 2 divisors, whose sum is σ = 222122010002. Its totient is φ = 222122010000.

The previous prime is 222122009953. The next prime is 222122010059. The reversal of 222122010001 is 100010221222.

It is a happy number.

222122010001 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., 193776920401 + 28345089600 = 440201^2 + 168360^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122010001 - 229 = 221585139089 is a prime.

It is not a weakly prime, because it can be changed into another prime (222120010001) 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, 111061005000 + 111061005001.

It is an arithmetic number, because the mean of its divisors is an integer number (111061005001).

Almost surely, 2222122010001 is an apocalyptic number.

It is an amenable number.

222122010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122010001 is an equidigital number, since it uses as much as digits as its factorization.

222122010001 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 222122010001 its reverse (100010221222), we get a palindrome (322132231223).

The spelling of 222122010001 in words is "two hundred twenty-two billion, one hundred twenty-two million, ten thousand, one".