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12212010000101 is a prime number
BaseRepresentation
bin1011000110110101010010…
…0001001001111011100101
31121020110022222022000012102
42301231110201021323211
53100040144030000401
641550041524101445
72400200664203042
oct261552441117345
947213288260172
1012212010000101
1139890a230791a
121452929534885
136a7783c651a2
143030c8b621c9
151629e093d56b
hexb1b54849ee5

12212010000101 has 2 divisors, whose sum is σ = 12212010000102. Its totient is φ = 12212010000100.

The previous prime is 12212010000053. The next prime is 12212010000217. The reversal of 12212010000101 is 10100001021221.

12212010000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6302103139201 + 5909906860900 = 2510399^2 + 2431030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212010000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212019000101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106005000050 + 6106005000051.

It is an arithmetic number, because the mean of its divisors is an integer number (6106005000051).

Almost surely, 212212010000101 is an apocalyptic number.

It is an amenable number.

12212010000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212010000101 is an equidigital number, since it uses as much as digits as its factorization.

12212010000101 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 11.

Adding to 12212010000101 its reverse (10100001021221), we get a palindrome (22312011021322).

The spelling of 12212010000101 in words is "twelve trillion, two hundred twelve billion, ten million, one hundred one", and thus it is an aban number.