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12211101210101 is a prime number
BaseRepresentation
bin1011000110110001111001…
…0110011001010111110101
31121020100222122020200200112
42301230132112121113311
53100031313402210401
641545411421352405
72400136320464363
oct261543626312765
947210878220615
1012211101210101
113988776321502
121452715108705
136a766a8b1921
14303040198633
1516298ac773bb
hexb1b1e5995f5

12211101210101 has 2 divisors, whose sum is σ = 12211101210102. Its totient is φ = 12211101210100.

The previous prime is 12211101210089. The next prime is 12211101210149. The reversal of 12211101210101 is 10101210111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11610708687601 + 600392522500 = 3407449^2 + 774850^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211101210101 - 230 = 12210027468277 is a prime.

It is a super-2 number, since 2×122111012101012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211101216101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105550605050 + 6105550605051.

It is an arithmetic number, because the mean of its divisors is an integer number (6105550605051).

Almost surely, 212211101210101 is an apocalyptic number.

It is an amenable number.

12211101210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211101210101 is an equidigital number, since it uses as much as digits as its factorization.

12211101210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12211101210101 its reverse (10101210111221), we get a palindrome (22312311321322).

The spelling of 12211101210101 in words is "twelve trillion, two hundred eleven billion, one hundred one million, two hundred ten thousand, one hundred one".