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122121100111 is a prime number
BaseRepresentation
bin111000110111011111…
…1000001101101001111
3102200012211101122211211
41301232333001231033
54000101000200421
6132033542555251
711552163136513
oct1615677015517
9380184348754
10122121100111
11478781a501a
121b802138b27
13b6927822aa
145ca6d26143
15329b2d99e1
hex1c6efc1b4f

122121100111 has 2 divisors, whose sum is σ = 122121100112. Its totient is φ = 122121100110.

The previous prime is 122121100021. The next prime is 122121100139. The reversal of 122121100111 is 111001121221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122121100111 - 219 = 122120575823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122121100091 and 122121100100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121100141) 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, 61060550055 + 61060550056.

It is an arithmetic number, because the mean of its divisors is an integer number (61060550056).

Almost surely, 2122121100111 is an apocalyptic number.

122121100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121100111 is an equidigital number, since it uses as much as digits as its factorization.

122121100111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122121100111 its reverse (111001121221), we get a palindrome (233122221332).

The spelling of 122121100111 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred eleven".