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10101222221 is a prime number
BaseRepresentation
bin10010110100001010…
…00110101101001101
3222001222020020220112
421122011012231031
5131141403102341
64350200125405
7505213654316
oct113205065515
928058206815
1010101222221
114313970842
121b5aa66865
13c4c96b38c
146bb79160d
153e1c04aeb
hex25a146b4d

10101222221 has 2 divisors, whose sum is σ = 10101222222. Its totient is φ = 10101222220.

The previous prime is 10101222181. The next prime is 10101222253. The reversal of 10101222221 is 12222210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10071126025 + 30096196 = 100355^2 + 5486^2 .

It is an emirp because it is prime and its reverse (12222210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101222221 - 214 = 10101205837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101222196 and 10101222205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101222121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050611110 + 5050611111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050611111).

Almost surely, 210101222221 is an apocalyptic number.

It is an amenable number.

10101222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101222221 is an equidigital number, since it uses as much as digits as its factorization.

10101222221 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 14.

Adding to 10101222221 its reverse (12222210101), we get a palindrome (22323432322).

The spelling of 10101222221 in words is "ten billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty-one".