111011120100160 has 112 divisors (see below), whose sum is σ = 302213134992384. Its totient is φ = 38047815180288.

The previous prime is 111011120100137. The next prime is 111011120100161. The reversal of 111011120100160 is 61001021110111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011120100161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2064144 + ... + 15042703.

It is an arithmetic number, because the mean of its divisors is an integer number (2698331562432).

Almost surely, 2^{111011120100160} is an apocalyptic number.

111011120100160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111011120100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151106567496192).

111011120100160 is an abundant number, since it is smaller than the sum of its proper divisors (191202014892224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111011120100160 is a wasteful number, since it uses less digits than its factorization.

111011120100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17109768 (or 17109758 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 111011120100160 its reverse (61001021110111), we get a palindrome (172012141210271).

The spelling of 111011120100160 in words is "one hundred eleven trillion, eleven billion, one hundred twenty million, one hundred thousand, one hundred sixty".