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110122112201 is a prime number
BaseRepresentation
bin110011010001111001…
…0100001010011001001
3101112020121011220211012
41212203302201103021
53301012230042301
6122331151013305
710645633336463
oct1464362412311
9345217156735
10110122112201
1142780074892
121941380a235
13a4cc8b334a
1454894cd133
152ce7bb8ebb
hex19a3ca14c9

110122112201 has 2 divisors, whose sum is σ = 110122112202. Its totient is φ = 110122112200.

The previous prime is 110122112171. The next prime is 110122112209. The reversal of 110122112201 is 102211221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98822209600 + 11299902601 = 314360^2 + 106301^2 .

It is an emirp because it is prime and its reverse (102211221011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110122112201 is a prime.

It is not a weakly prime, because it can be changed into another prime (110122112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061056100 + 55061056101.

It is an arithmetic number, because the mean of its divisors is an integer number (55061056101).

Almost surely, 2110122112201 is an apocalyptic number.

It is an amenable number.

110122112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122112201 is an equidigital number, since it uses as much as digits as its factorization.

110122112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110122112201 its reverse (102211221011), we get a palindrome (212333333212).

The spelling of 110122112201 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".