111101111211111 has 128 divisors (see below), whose sum is σ = 176089742180352. Its totient is φ = 60995690496000.

The previous prime is 111101111211109. The next prime is 111101111211113. The reversal of 111101111211111 is 111112111101111.

It is an interprime number because it is at equal distance from previous prime (111101111211109) and next prime (111101111211113).

It is not a de Polignac number, because 111101111211111 - 2¹ = 111101111211109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101111211113) 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 in 127 ways as a sum of consecutive naturals, for example, 7855547706 + ... + 7855561848.

It is an arithmetic number, because the mean of its divisors is an integer number (1375701110784).

Almost surely, 2^{111101111211111} is an apocalyptic number.

111101111211111 is a deficient number, since it is larger than the sum of its proper divisors (64988630969241).

111101111211111 is a wasteful number, since it uses less digits than its factorization.

111101111211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14853.

The product of its (nonzero) digits is 2, while the sum is 15.

Adding to 111101111211111 its reverse (111112111101111), we get a palindrome (222213222312222).

The spelling of 111101111211111 in words is "one hundred eleven trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred eleven".