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121121114017 is a prime number
BaseRepresentation
bin111000011001101100…
…0011000011110100001
3102120122010202002210211
41300303120120132201
53441024001122032
6131350421454121
711515331324251
oct1606330303641
9376563662724
10121121114017
1147404790732
121b583271341
13b56354b547
145c101bd961
15323d60c747
hex1c336187a1

121121114017 has 2 divisors, whose sum is σ = 121121114018. Its totient is φ = 121121114016.

The previous prime is 121121113991. The next prime is 121121114047. The reversal of 121121114017 is 710411121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112064927121 + 9056186896 = 334761^2 + 95164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121121114017 is a prime.

It is a super-2 number, since 2×1211211140172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (121121114047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560557008 + 60560557009.

It is an arithmetic number, because the mean of its divisors is an integer number (60560557009).

Almost surely, 2121121114017 is an apocalyptic number.

It is an amenable number.

121121114017 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121114017 is an equidigital number, since it uses as much as digits as its factorization.

121121114017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 121121114017 its reverse (710411121121), we get a palindrome (831532235138).

The spelling of 121121114017 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred fourteen thousand, seventeen".