111116116101 has 32 divisors (see below), whose sum is σ = 155676561408. Its totient is φ = 70414643520.

The previous prime is 111116116087. The next prime is 111116116151. The reversal of 111116116101 is 101611611111.

It is not a de Polignac number, because 111116116101 - 2¹⁵ = 111116083333 is a prime.

It is a super-2 number, since 2×111116116101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111116116151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2918256 + ... + 2956086.

It is an arithmetic number, because the mean of its divisors is an integer number (4864892544).

Almost surely, 2^111116116101 is an apocalyptic number.

It is an amenable number.

111116116101 is a deficient number, since it is larger than the sum of its proper divisors (44560445307).

111116116101 is a wasteful number, since it uses less digits than its factorization.

111116116101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38481.

The product of its (nonzero) digits is 36, while the sum is 21.

Adding to 111116116101 its reverse (101611611111), we get a palindrome (212727727212).

The spelling of 111116116101 in words is "one hundred eleven billion, one hundred sixteen million, one hundred sixteen thousand, one hundred one".