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122202221002201 is a prime number
BaseRepresentation
bin11011110010010001101011…
…111110010011110111011001
3121000200102021220010011122201
4123302101223332103313121
5112004130122034032301
61111522531511450201
734511550645640264
oct3362215376236731
9530612256104581
10122202221002201
1135a34741a4aaaa
1211857738686961
13532580a1861a2
142226894987cdb
15e1db60a72201
hex6f246bf93dd9

122202221002201 has 2 divisors, whose sum is σ = 122202221002202. Its totient is φ = 122202221002200.

The previous prime is 122202221002153. The next prime is 122202221002223. The reversal of 122202221002201 is 102200122202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100322279242201 + 21879941760000 = 10016101^2 + 4677600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122202221002201 is a prime.

It is not a weakly prime, because it can be changed into another prime (122202221002231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101110501100 + 61101110501101.

It is an arithmetic number, because the mean of its divisors is an integer number (61101110501101).

Almost surely, 2122202221002201 is an apocalyptic number.

It is an amenable number.

122202221002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202221002201 is an equidigital number, since it uses as much as digits as its factorization.

122202221002201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122202221002201 its reverse (102200122202221), we get a palindrome (224402343204422).

The spelling of 122202221002201 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred twenty-one million, two thousand, two hundred one".