100111011111103 has 2 divisors, whose sum is σ = 100111011111104. Its totient is φ = 100111011111102.

The previous prime is 100111011111101. The next prime is 100111011111121. The reversal of 100111011111103 is 301111110111001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111011111103 - 2¹ = 100111011111101 is a prime.

Together with 100111011111101, 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 (100111011111101) 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, 50055505555551 + 50055505555552.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505555552).

Almost surely, 2^{100111011111103} is an apocalyptic number.

100111011111103 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011111103 is an equidigital number, since it uses as much as digits as its factorization.

100111011111103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 100111011111103 its reverse (301111110111001), we get a palindrome (401222121222104).

The spelling of 100111011111103 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred three".