100002112111103 has 2 divisors, whose sum is σ = 100002112111104. Its totient is φ = 100002112111102.

The previous prime is 100002112111021. The next prime is 100002112111127. The reversal of 100002112111103 is 301111211200001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100002112111103 - 2²⁶ = 100002045002239 is a prime.

It is a super-2 number, since 2×100002112111103² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002112111183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001056055551 + 50001056055552.

It is an arithmetic number, because the mean of its divisors is an integer number (50001056055552).

Almost surely, 2^{100002112111103} is an apocalyptic number.

100002112111103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002112111103 is an equidigital number, since it uses as much as digits as its factorization.

100002112111103 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 14.

Adding to 100002112111103 its reverse (301111211200001), we get a palindrome (401113323311104).

The spelling of 100002112111103 in words is "one hundred trillion, two billion, one hundred twelve million, one hundred eleven thousand, one hundred three".