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122221101221 is a prime number
BaseRepresentation
bin111000111010011110…
…0100000000010100101
3102200110210120020120122
41301310330200002211
54000302100214341
6132051514211325
711554516135112
oct1616474400245
9380423506518
10122221101221
114791969736a
121b82b723b45
13b6aa3c644b
145cb6317909
1532a4e8e94b
hex1c74f200a5

122221101221 has 2 divisors, whose sum is σ = 122221101222. Its totient is φ = 122221101220.

The previous prime is 122221101169. The next prime is 122221101227. The reversal of 122221101221 is 122101122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101054052100 + 21167049121 = 317890^2 + 145489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221101221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122221101221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122221101227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110550610 + 61110550611.

It is an arithmetic number, because the mean of its divisors is an integer number (61110550611).

Almost surely, 2122221101221 is an apocalyptic number.

It is an amenable number.

122221101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221101221 is an equidigital number, since it uses as much as digits as its factorization.

122221101221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122221101221 its reverse (122101122221), we get a palindrome (244322223442).

The spelling of 122221101221 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty-one".