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122200100221 is a prime number
BaseRepresentation
bin111000111001110110…
…0011000110101111101
3102200102100001021121211
41301303230120311331
54000231211201341
6132045444124421
711554142466523
oct1616354306575
9380370037554
10122200100221
1147908852a71
121b824696711
13b6a5c52514
145cb360c313
1532a31e2181
hex1c73b18d7d

122200100221 has 2 divisors, whose sum is σ = 122200100222. Its totient is φ = 122200100220.

The previous prime is 122200100189. The next prime is 122200100261. The reversal of 122200100221 is 122001002221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82549334596 + 39650765625 = 287314^2 + 199125^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200100221 - 25 = 122200100189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122200100261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100050110 + 61100050111.

It is an arithmetic number, because the mean of its divisors is an integer number (61100050111).

Almost surely, 2122200100221 is an apocalyptic number.

It is an amenable number.

122200100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200100221 is an equidigital number, since it uses as much as digits as its factorization.

122200100221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122200100221 its reverse (122001002221), we get a palindrome (244201102442).

It can be divided in two parts, 1 and 22200100221, that added together give a palindrome (22200100222).

The spelling of 122200100221 in words is "one hundred twenty-two billion, two hundred million, one hundred thousand, two hundred twenty-one".