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12211201001 is a prime number
BaseRepresentation
bin10110101111101100…
…00010001111101001
31011112000112021122202
423113312002033221
5200002031413001
65335412225545
7611414332046
oct132766021751
934460467582
1012211201001
1151a69a505a
12244960b2b5
1311c7b4122c
1483bab81cd
154b708d96b
hex2d7d823e9

12211201001 has 2 divisors, whose sum is σ = 12211201002. Its totient is φ = 12211201000.

The previous prime is 12211200973. The next prime is 12211201061. The reversal of 12211201001 is 10010211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10202010025 + 2009190976 = 101005^2 + 44824^2 .

It is an emirp because it is prime and its reverse (10010211221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12211201001 - 214 = 12211184617 is a prime.

It is a super-2 number, since 2×122112010012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600500 + 6105600501.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600501).

Almost surely, 212211201001 is an apocalyptic number.

It is an amenable number.

12211201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211201001 is an equidigital number, since it uses as much as digits as its factorization.

12211201001 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 11.

Adding to 12211201001 its reverse (10010211221), we get a palindrome (22221412222).

The spelling of 12211201001 in words is "twelve billion, two hundred eleven million, two hundred one thousand, one".