Search a number
-
+
122002210222201 is a prime number
BaseRepresentation
bin11011101111010111011010…
…011001101111000001111001
3120222222022000210112210210001
4123233113122121233001321
5111442341011304102301
61111251012554353001
734461240334234561
oct3357273231570171
9528868023483701
10122002210222201
1135967935096711
1211824a1942b761
13530c9b386141a
14221ad1d29bda1
15e188566bdc01
hex6ef5da66f079

122002210222201 has 2 divisors, whose sum is σ = 122002210222202. Its totient is φ = 122002210222200.

The previous prime is 122002210222177. The next prime is 122002210222213. The reversal of 122002210222201 is 102222012200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121869677091600 + 132533130601 = 11039460^2 + 364051^2 .

It is a cyclic number.

It is not a de Polignac number, because 122002210222201 - 219 = 122002209697913 is a prime.

It is not a weakly prime, because it can be changed into another prime (122002214222201) 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, 61001105111100 + 61001105111101.

It is an arithmetic number, because the mean of its divisors is an integer number (61001105111101).

Almost surely, 2122002210222201 is an apocalyptic number.

It is an amenable number.

122002210222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122002210222201 is an equidigital number, since it uses as much as digits as its factorization.

122002210222201 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 122002210222201 its reverse (102222012200221), we get a palindrome (224224222422422).

The spelling of 122002210222201 in words is "one hundred twenty-two trillion, two billion, two hundred ten million, two hundred twenty-two thousand, two hundred one".