100111011113111 has 2 divisors, whose sum is σ = 100111011113112. Its totient is φ = 100111011113110.

The previous prime is 100111011113083. The next prime is 100111011113207. The reversal of 100111011113111 is 111311110111001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100111011113111 - 2¹⁴ = 100111011096727 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011413111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505556555 + 50055505556556.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505556556).

Almost surely, 2^{100111011113111} is an apocalyptic number.

100111011113111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011113111 is an equidigital number, since it uses as much as digits as its factorization.

100111011113111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 14.

Adding to 100111011113111 its reverse (111311110111001), we get a palindrome (211422121224112).

The spelling of 100111011113111 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred thirteen thousand, one hundred eleven".