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122122110181 is a prime number
BaseRepresentation
bin111000110111100001…
…0111000010011100101
3102200012220021222101211
41301233002320103211
54000101230011211
6132034020351421
711552204544361
oct1615702702345
9380186258354
10122122110181
1147878824995
121b802545571
13b692a46c76
145ca710a2a1
15329b438e21
hex1c6f0b84e5

122122110181 has 2 divisors, whose sum is σ = 122122110182. Its totient is φ = 122122110180.

The previous prime is 122122110169. The next prime is 122122110251. The reversal of 122122110181 is 181011221221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115226302500 + 6895807681 = 339450^2 + 83041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122122110181 is a prime.

It is a super-2 number, since 2×1221221101812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122120181) 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, 61061055090 + 61061055091.

It is an arithmetic number, because the mean of its divisors is an integer number (61061055091).

Almost surely, 2122122110181 is an apocalyptic number.

It is an amenable number.

122122110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122110181 is an equidigital number, since it uses as much as digits as its factorization.

122122110181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 122122110181 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred eighty-one".