100111011010111 has 2 divisors, whose sum is σ = 100111011010112. Its totient is φ = 100111011010110.

The previous prime is 100111011010103. The next prime is 100111011010169. The reversal of 100111011010111 is 111010110111001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111011010111 - 2³ = 100111011010103 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011010211) 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, 50055505505055 + 50055505505056.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505505056).

Almost surely, 2^{100111011010111} is an apocalyptic number.

100111011010111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011010111 is an equidigital number, since it uses as much as digits as its factorization.

100111011010111 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 10.

Adding to 100111011010111 its reverse (111010110111001), we get a palindrome (211121121121112).

The spelling of 100111011010111 in words is "one hundred trillion, one hundred eleven billion, eleven million, ten thousand, one hundred eleven".