12100010113 has 2 divisors, whose sum is σ = 12100010114. Its totient is φ = 12100010112.

The previous prime is 12100010101. The next prime is 12100010123. The reversal of 12100010113 is 31101000121.

It is an a-pointer prime, because the next prime (12100010123) can be obtained adding 12100010113 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12068560449 + 31449664 = 109857^2 + 5608^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100010113 - 2³³ = 3510075521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12100010113.

It is not a weakly prime, because it can be changed into another prime (12100010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050005056 + 6050005057.

It is an arithmetic number, because the mean of its divisors is an integer number (6050005057).

Almost surely, 2^12100010113 is an apocalyptic number.

It is an amenable number.

12100010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100010113 is an equidigital number, since it uses as much as digits as its factorization.

12100010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 12100010113 its reverse (31101000121), we get a palindrome (43201010234).

The spelling of 12100010113 in words is "twelve billion, one hundred million, ten thousand, one hundred thirteen".