Search a number
-
+
12121031101 is a prime number
BaseRepresentation
bin10110100100111100…
…00100000110111101
31011021201212011210211
423102132010012331
5144310440443401
65322431432421
7606241031044
oct132236040675
934251764724
1012121031101
115160008083
122423385711
1311b225cb6a
1482db2555b
154ae1cb951
hex2d27841bd

12121031101 has 2 divisors, whose sum is σ = 12121031102. Its totient is φ = 12121031100.

The previous prime is 12121031099. The next prime is 12121031123. The reversal of 12121031101 is 10113012121.

It is a happy number.

12121031101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9945275076 + 2175756025 = 99726^2 + 46645^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121031101 - 21 = 12121031099 is a prime.

Together with 12121031099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121031141) 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, 6060515550 + 6060515551.

It is an arithmetic number, because the mean of its divisors is an integer number (6060515551).

Almost surely, 212121031101 is an apocalyptic number.

It is an amenable number.

12121031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121031101 is an equidigital number, since it uses as much as digits as its factorization.

12121031101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12121031101 its reverse (10113012121), we get a palindrome (22234043222).

The spelling of 12121031101 in words is "twelve billion, one hundred twenty-one million, thirty-one thousand, one hundred one".