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122101022137 is a prime number
BaseRepresentation
bin111000110110111001…
…0011011110110111001
3102200011102121121001011
41301231302123312321
54000030330202022
6132031544353521
711551530364243
oct1615562336671
9380142547034
10122101022137
1147867931156
121b7b74758a1
13b68b572533
145ca43bb093
153299670977
hex1c6dc9bdb9

122101022137 has 2 divisors, whose sum is σ = 122101022138. Its totient is φ = 122101022136.

The previous prime is 122101022083. The next prime is 122101022143. The reversal of 122101022137 is 731220101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102432642601 + 19668379536 = 320051^2 + 140244^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101022137 - 27 = 122101022009 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101022237) 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, 61050511068 + 61050511069.

It is an arithmetic number, because the mean of its divisors is an integer number (61050511069).

Almost surely, 2122101022137 is an apocalyptic number.

It is an amenable number.

122101022137 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101022137 is an equidigital number, since it uses as much as digits as its factorization.

122101022137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 122101022137 its reverse (731220101221), we get a palindrome (853321123358).

The spelling of 122101022137 in words is "one hundred twenty-two billion, one hundred one million, twenty-two thousand, one hundred thirty-seven".