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221201102137 is a prime number
BaseRepresentation
bin1100111000000010011…
…1001111010100111001
3210010221212220021010111
43032000213033110321
512111004440232022
6245341323144321
721660366226261
oct3160047172471
9703855807114
10221201102137
11858a128a014
1236a539750a1
1317b227b5b22
14a9c5b027a1
155b49897477
hex33809cf539

221201102137 has 2 divisors, whose sum is σ = 221201102138. Its totient is φ = 221201102136.

The previous prime is 221201102123. The next prime is 221201102173. The reversal of 221201102137 is 731201102122.

221201102137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (221201102173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220421799081 + 779303056 = 469491^2 + 27916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221201102137 is a prime.

It is not a weakly prime, because it can be changed into another prime (221201100137) 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, 110600551068 + 110600551069.

It is an arithmetic number, because the mean of its divisors is an integer number (110600551069).

Almost surely, 2221201102137 is an apocalyptic number.

It is an amenable number.

221201102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221201102137 is an equidigital number, since it uses as much as digits as its factorization.

221201102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 221201102137 its reverse (731201102122), we get a palindrome (952402204259).

The spelling of 221201102137 in words is "two hundred twenty-one billion, two hundred one million, one hundred two thousand, one hundred thirty-seven".