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122101122119 is a prime number
BaseRepresentation
bin111000110110111001…
…0110100010001000111
3102200011102210200012012
41301231302310101013
54000030341401434
6132031550444435
711551531261604
oct1615562642107
9380142720165
10122101122119
114786799a289
121b7b750371b
13b68b5a8bb2
145ca44056ab
1532996903ce
hex1c6dcb4447

122101122119 has 2 divisors, whose sum is σ = 122101122120. Its totient is φ = 122101122118.

The previous prime is 122101122113. The next prime is 122101122127. The reversal of 122101122119 is 911221101221.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122101122119 is a prime.

It is a super-2 number, since 2×1221011221192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122101122094 and 122101122103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101122113) 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, 61050561059 + 61050561060.

It is an arithmetic number, because the mean of its divisors is an integer number (61050561060).

Almost surely, 2122101122119 is an apocalyptic number.

122101122119 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101122119 is an equidigital number, since it uses as much as digits as its factorization.

122101122119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 122101122119 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred nineteen".