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122100020201 is a prime number
BaseRepresentation
bin111000110110110111…
…0100111001111101001
3102200011100201200122102
41301231232213033221
54000030101121301
6132031511103145
711551516022165
oct1615556471751
9380140650572
10122100020201
1147867307405
121b7b7071ab5
13b68b2b1483
145ca41d9ca5
153299523b6b
hex1c6dba73e9

122100020201 has 2 divisors, whose sum is σ = 122100020202. Its totient is φ = 122100020200.

The previous prime is 122100020149. The next prime is 122100020233. The reversal of 122100020201 is 102020001221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83117466601 + 38982553600 = 288301^2 + 197440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122100020201 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100020281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050010100 + 61050010101.

It is an arithmetic number, because the mean of its divisors is an integer number (61050010101).

Almost surely, 2122100020201 is an apocalyptic number.

It is an amenable number.

122100020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100020201 is an equidigital number, since it uses as much as digits as its factorization.

122100020201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122100020201 its reverse (102020001221), we get a palindrome (224120021422).

The spelling of 122100020201 in words is "one hundred twenty-two billion, one hundred million, twenty thousand, two hundred one".