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122223221101 is a prime number
BaseRepresentation
bin111000111010100010…
…0100101100101101101
3102200110221112221111201
41301311010211211231
54000303121033401
6132052031445501
711554543144402
oct1616504454555
9380427487451
10122223221101
114791a905033
121b830386891
13b6aa989307
145cb670a2a9
1532a525cb01
hex1c7512596d

122223221101 has 2 divisors, whose sum is σ = 122223221102. Its totient is φ = 122223221100.

The previous prime is 122223221059. The next prime is 122223221119. The reversal of 122223221101 is 101122322221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100841178025 + 21382043076 = 317555^2 + 146226^2 .

It is an emirp because it is prime and its reverse (101122322221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122223221101 - 217 = 122223090029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122223221191) 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, 61111610550 + 61111610551.

It is an arithmetic number, because the mean of its divisors is an integer number (61111610551).

Almost surely, 2122223221101 is an apocalyptic number.

It is an amenable number.

122223221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122223221101 is an equidigital number, since it uses as much as digits as its factorization.

122223221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122223221101 its reverse (101122322221), we get a palindrome (223345543322).

It can be divided in two parts, 12222 and 3221101, that added together give a palindrome (3233323).

The spelling of 122223221101 in words is "one hundred twenty-two billion, two hundred twenty-three million, two hundred twenty-one thousand, one hundred one".