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122101110953 is a prime number
BaseRepresentation
bin111000110110111001…
…0110001100010101001
3102200011102210002212122
41301231302301202221
54000030341022303
6132031550321025
711551531214213
oct1615562614251
9380142702778
10122101110953
1147867991958
121b7b74b9175
13b68b5a3aa3
145ca44015b3
15329968be38
hex1c6dcb18a9

122101110953 has 2 divisors, whose sum is σ = 122101110954. Its totient is φ = 122101110952.

The previous prime is 122101110893. The next prime is 122101111043. The reversal of 122101110953 is 359011101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80277588889 + 41823522064 = 283333^2 + 204508^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101110953 - 28 = 122101110697 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101110353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050555476 + 61050555477.

It is an arithmetic number, because the mean of its divisors is an integer number (61050555477).

Almost surely, 2122101110953 is an apocalyptic number.

It is an amenable number.

122101110953 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101110953 is an equidigital number, since it uses as much as digits as its factorization.

122101110953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 122101110953 in words is "one hundred twenty-two billion, one hundred one million, one hundred ten thousand, nine hundred fifty-three".