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12211100111201 is a prime number
BaseRepresentation
bin1011000110110001111001…
…0010001101000101100001
31121020100222120011212021112
42301230132102031011201
53100031313112024301
641545411342033105
72400136305236525
oct261543622150541
947210876155245
1012211100111201
113988775740922
121452714878795
136a766a5b86a4
1430303dd8dd85
1516298ab0b9bb
hexb1b1e48d161

12211100111201 has 2 divisors, whose sum is σ = 12211100111202. Its totient is φ = 12211100111200.

The previous prime is 12211100111167. The next prime is 12211100111209. The reversal of 12211100111201 is 10211100111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10331075211601 + 1880024899600 = 3214199^2 + 1371140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211100111201 is a prime.

It is a super-2 number, since 2×122111001112012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211100111209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105550055600 + 6105550055601.

It is an arithmetic number, because the mean of its divisors is an integer number (6105550055601).

Almost surely, 212211100111201 is an apocalyptic number.

It is an amenable number.

12211100111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211100111201 is an equidigital number, since it uses as much as digits as its factorization.

12211100111201 is an evil number, because the sum of its binary digits is even.

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

Adding to 12211100111201 its reverse (10211100111221), we get a palindrome (22422200222422).

The spelling of 12211100111201 in words is "twelve trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, two hundred one".