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101222111117 is a prime number
BaseRepresentation
bin101111001000101001…
…1101101011110001101
3100200021100021000112102
41132101103231132031
53124300330023432
6114300101044445
710212243514451
oct1362123553615
9320240230472
10101222111117
1139a23274296
121774b0b6725
139711a7620a
144c834a8661
152976691962
hex17914ed78d

101222111117 has 2 divisors, whose sum is σ = 101222111118. Its totient is φ = 101222111116.

The previous prime is 101222111083. The next prime is 101222111141. The reversal of 101222111117 is 711111222101.

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., 96018797161 + 5203313956 = 309869^2 + 72134^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222111117 - 216 = 101222045581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222111147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611055558 + 50611055559.

It is an arithmetic number, because the mean of its divisors is an integer number (50611055559).

Almost surely, 2101222111117 is an apocalyptic number.

It is an amenable number.

101222111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222111117 is an equidigital number, since it uses as much as digits as its factorization.

101222111117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 101222111117 its reverse (711111222101), we get a palindrome (812333333218).

The spelling of 101222111117 in words is "one hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred seventeen".