Search a number
-
+
1101120112121 is a prime number
BaseRepresentation
bin10000000001011111110…
…111111000010111111001
310220021011221202100200212
4100001133313320113321
5121020043222041441
62201503025240505
7142360532344361
oct20013767702771
93807157670625
101101120112121
11394a89662897
121594a2a93135
137cab1b7b403
143b41a15d9a1
151d998eaaeeb
hex1005fdf85f9

1101120112121 has 2 divisors, whose sum is σ = 1101120112122. Its totient is φ = 1101120112120.

The previous prime is 1101120112061. The next prime is 1101120112129. The reversal of 1101120112121 is 1212110211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988704080896 + 112416031225 = 994336^2 + 335285^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101120112121 - 214 = 1101120095737 is a prime.

It is a super-2 number, since 2×11011201121212 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1101120112096 and 1101120112105.

It is not a weakly prime, because it can be changed into another prime (1101120112129) 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, 550560056060 + 550560056061.

It is an arithmetic number, because the mean of its divisors is an integer number (550560056061).

Almost surely, 21101120112121 is an apocalyptic number.

It is an amenable number.

1101120112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101120112121 is an equidigital number, since it uses as much as digits as its factorization.

1101120112121 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 14.

Adding to 1101120112121 its reverse (1212110211011), we get a palindrome (2313230323132).

The spelling of 1101120112121 in words is "one trillion, one hundred one billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-one".