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12220211210201 is a prime number
BaseRepresentation
bin1011000111010011110101…
…0110010010011111011001
31121021020111112022122110122
42301310331112102133121
53100203443032211301
641553515412323025
72400611140300421
oct261647526223731
947236445278418
1012220211210201
113991620714405
121454438013475
136a8490097327
14303666045481
15162d2093181b
hexb1d3d5927d9

12220211210201 has 2 divisors, whose sum is σ = 12220211210202. Its totient is φ = 12220211210200.

The previous prime is 12220211210183. The next prime is 12220211210203. The reversal of 12220211210201 is 10201211202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6972794766025 + 5247416444176 = 2640605^2 + 2290724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220211210201 is a prime.

Together with 12220211210203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12220211210201.

It is not a weakly prime, because it can be changed into another prime (12220211210203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110105605100 + 6110105605101.

It is an arithmetic number, because the mean of its divisors is an integer number (6110105605101).

Almost surely, 212220211210201 is an apocalyptic number.

It is an amenable number.

12220211210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220211210201 is an equidigital number, since it uses as much as digits as its factorization.

12220211210201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12220211210201 its reverse (10201211202221), we get a palindrome (22421422412422).

The spelling of 12220211210201 in words is "twelve trillion, two hundred twenty billion, two hundred eleven million, two hundred ten thousand, two hundred one".