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121113300101 is a prime number
BaseRepresentation
bin111000011001011101…
…0100100110010000101
3102120121121001010010112
41300302322210302011
53441020001100401
6131345542202405
711515205031203
oct1606272446205
9376547033115
10121113300101
1147400333a52
121b580723405
13b561a43a21
145c0d148073
15323cab73bb
hex1c32ea4c85

121113300101 has 2 divisors, whose sum is σ = 121113300102. Its totient is φ = 121113300100.

The previous prime is 121113300083. The next prime is 121113300137. The reversal of 121113300101 is 101003311121.

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., 96776988100 + 24336312001 = 311090^2 + 156001^2 .

It is an emirp because it is prime and its reverse (101003311121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121113300101 - 210 = 121113299077 is a prime.

It is a super-2 number, since 2×1211133001012 (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 (121113300151) 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, 60556650050 + 60556650051.

It is an arithmetic number, because the mean of its divisors is an integer number (60556650051).

Almost surely, 2121113300101 is an apocalyptic number.

It is an amenable number.

121113300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

121113300101 is an equidigital number, since it uses as much as digits as its factorization.

121113300101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 121113300101 its reverse (101003311121), we get a palindrome (222116611222).

The spelling of 121113300101 in words is "one hundred twenty-one billion, one hundred thirteen million, three hundred thousand, one hundred one".