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122121201091 is a prime number
BaseRepresentation
bin111000110111011111…
…1011010010111000011
3102200012211120210100211
41301232333122113003
54000101011413331
6132033545054551
711552164040101
oct1615677322703
9380184523324
10122121201091
114787826397a
121b802187457
13b6927b9246
145ca6d50c71
15329b3098b1
hex1c6efda5c3

122121201091 has 2 divisors, whose sum is σ = 122121201092. Its totient is φ = 122121201090.

The previous prime is 122121201089. The next prime is 122121201101. The reversal of 122121201091 is 190102121221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122121201091 - 21 = 122121201089 is a prime.

Together with 122121201089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122121201001) 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, 61060600545 + 61060600546.

It is an arithmetic number, because the mean of its divisors is an integer number (61060600546).

Almost surely, 2122121201091 is an apocalyptic number.

122121201091 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121201091 is an equidigital number, since it uses as much as digits as its factorization.

122121201091 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 22.

The spelling of 122121201091 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, ninety-one".