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122001313201 is a prime number
BaseRepresentation
bin111000110011111011…
…0000100110110110001
3102122220110222212002121
41301213312010312301
53444324314010301
6132014023314241
711546210023525
oct1614766046661
9378813885077
10122001313201
1147816619379
121b789bab981
13b673a01371
145c95063d85
153290a273a1
hex1c67d84db1

122001313201 has 2 divisors, whose sum is σ = 122001313202. Its totient is φ = 122001313200.

The previous prime is 122001313199. The next prime is 122001313309. The reversal of 122001313201 is 102313100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113467248801 + 8534064400 = 336849^2 + 92380^2 .

It is an emirp because it is prime and its reverse (102313100221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122001313201 - 21 = 122001313199 is a prime.

Together with 122001313199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122001313601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000656600 + 61000656601.

It is an arithmetic number, because the mean of its divisors is an integer number (61000656601).

Almost surely, 2122001313201 is an apocalyptic number.

It is an amenable number.

122001313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122001313201 is an equidigital number, since it uses as much as digits as its factorization.

122001313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122001313201 its reverse (102313100221), we get a palindrome (224314413422).

The spelling of 122001313201 in words is "one hundred twenty-two billion, one million, three hundred thirteen thousand, two hundred one".