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122100012137 is a prime number
BaseRepresentation
bin111000110110110111…
…0100101010001101001
3102200011100201021120202
41301231232211101221
54000030100342022
6132031511001545
711551515656525
oct1615556452151
9380140637522
10122100012137
1147867301344
121b7b70692b5
13b68b2aa8bc
145ca41d6d85
153299521592
hex1c6dba5469

122100012137 has 2 divisors, whose sum is σ = 122100012138. Its totient is φ = 122100012136.

The previous prime is 122100012131. The next prime is 122100012191. The reversal of 122100012137 is 731210001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105346334041 + 16753678096 = 324571^2 + 129436^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100012137 - 210 = 122100011113 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100012131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050006068 + 61050006069.

It is an arithmetic number, because the mean of its divisors is an integer number (61050006069).

Almost surely, 2122100012137 is an apocalyptic number.

It is an amenable number.

122100012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100012137 is an equidigital number, since it uses as much as digits as its factorization.

122100012137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 122100012137 its reverse (731210001221), we get a palindrome (853310013358).

The spelling of 122100012137 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, one hundred thirty-seven".