111120011102100 has 2304 divisors, whose sum is σ = 480371638247424. Its totient is φ = 19062521856000.

The previous prime is 111120011102033. The next prime is 111120011102123. The reversal of 111120011102100 is 1201110021111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 8122207260 + ... + 8122220940.

It is an arithmetic number, because the mean of its divisors is an integer number (208494634656).

Almost surely, 2^{111120011102100} is an apocalyptic number.

111120011102100 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 111120011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240185819123712).

111120011102100 is an abundant number, since it is smaller than the sum of its proper divisors (369251627145324).

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

111120011102100 is a wasteful number, since it uses less digits than its factorization.

111120011102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111120011102100 its reverse (1201110021111), we get a palindrome (112321121123211).

It can be divided in two parts, 111120011 and 102100, that added together give a palindrome (111222111).

The spelling of 111120011102100 in words is "one hundred eleven trillion, one hundred twenty billion, eleven million, one hundred two thousand, one hundred".