100111110111011 has 2 divisors, whose sum is σ = 100111110111012. Its totient is φ = 100111110111010.

The previous prime is 100111110110983. The next prime is 100111110111013. The reversal of 100111110111011 is 110111011111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111110111011 - 2¹⁴ = 100111110094627 is a prime.

Together with 100111110111013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111110110983 and 100111110111001.

It is not a weakly prime, because it can be changed into another prime (100111110111013) 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, 50055555055505 + 50055555055506.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555055506).

Almost surely, 2^{100111110111011} is an apocalyptic number.

100111110111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110111011 is an equidigital number, since it uses as much as digits as its factorization.

100111110111011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100111110111011 its reverse (110111011111001), we get a palindrome (210222121222012).

The spelling of 100111110111011 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, eleven".