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12210202003301 is a prime number
BaseRepresentation
bin1011000110101110100011…
…0000001100011101100101
31121020021122222020020211222
42301223220300030131211
53100022443203101201
641545142300310125
72400105121401251
oct261535060143545
947207588206758
1012210202003301
113988354791095
121452503b42345
136a75565052b3
14302d969a7261
15162936d5591b
hexb1ae8c0c765

12210202003301 has 2 divisors, whose sum is σ = 12210202003302. Its totient is φ = 12210202003300.

The previous prime is 12210202003283. The next prime is 12210202003343. The reversal of 12210202003301 is 10330020201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11265857296225 + 944344707076 = 3356465^2 + 971774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210202003301 is a prime.

It is a super-3 number, since 3×122102020033013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12210202003301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210202003361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105101001650 + 6105101001651.

It is an arithmetic number, because the mean of its divisors is an integer number (6105101001651).

Almost surely, 212210202003301 is an apocalyptic number.

It is an amenable number.

12210202003301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210202003301 is an equidigital number, since it uses as much as digits as its factorization.

12210202003301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12210202003301 its reverse (10330020201221), we get a palindrome (22540222204522).

The spelling of 12210202003301 in words is "twelve trillion, two hundred ten billion, two hundred two million, three thousand, three hundred one".