Search a number
-
+
122101122127 is a prime number
BaseRepresentation
bin111000110110111001…
…0110100010001001111
3102200011102210200012111
41301231302310101033
54000030341402002
6132031550444451
711551531261615
oct1615562642117
9380142720174
10122101122127
114786799a296
121b7b7503727
13b68b5a8bba
145ca44056b5
1532996903d7
hex1c6dcb444f

122101122127 has 2 divisors, whose sum is σ = 122101122128. Its totient is φ = 122101122126.

The previous prime is 122101122119. The next prime is 122101122137. The reversal of 122101122127 is 721221101221.

It is a weak prime.

It is an emirp because it is prime and its reverse (721221101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101122127 - 23 = 122101122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122101122098 and 122101122107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101122137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050561063 + 61050561064.

It is an arithmetic number, because the mean of its divisors is an integer number (61050561064).

Almost surely, 2122101122127 is an apocalyptic number.

122101122127 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101122127 is an equidigital number, since it uses as much as digits as its factorization.

122101122127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 122101122127 its reverse (721221101221), we get a palindrome (843322223348).

The spelling of 122101122127 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-seven".