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107217224201 is a prime number
BaseRepresentation
bin110001111011010100…
…1010000001000001001
3101020202011010022121202
41203312221100020021
53224040102133301
6121131021113545
710513641240323
oct1436651201011
9336664108552
10107217224201
114151a3674aa
12189429b88b5
13a158b207c9
1452917a4613
152bc7b6166b
hex18f6a50209

107217224201 has 2 divisors, whose sum is σ = 107217224202. Its totient is φ = 107217224200.

The previous prime is 107217224171. The next prime is 107217224203. The reversal of 107217224201 is 102422712701.

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., 73397646400 + 33819577801 = 270920^2 + 183901^2 .

It is a cyclic number.

It is not a de Polignac number, because 107217224201 - 230 = 106143482377 is a prime.

It is a super-2 number, since 2×1072172242012 (a number of 23 digits) contains 22 as substring.

Together with 107217224203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (107217224203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53608612100 + 53608612101.

It is an arithmetic number, because the mean of its divisors is an integer number (53608612101).

Almost surely, 2107217224201 is an apocalyptic number.

It is an amenable number.

107217224201 is a deficient number, since it is larger than the sum of its proper divisors (1).

107217224201 is an equidigital number, since it uses as much as digits as its factorization.

107217224201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 29.

Adding to 107217224201 its reverse (102422712701), we get a palindrome (209639936902).

The spelling of 107217224201 in words is "one hundred seven billion, two hundred seventeen million, two hundred twenty-four thousand, two hundred one".