111102020111100 has 288 divisors, whose sum is σ = 334081742400000. Its totient is φ = 28483719552000.

The previous prime is 111102020111081. The next prime is 111102020111113. The reversal of 111102020111100 is 1111020201111.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559329601 + ... + 559528199.

It is an arithmetic number, because the mean of its divisors is an integer number (1160006050000).

Almost surely, 2^{111102020111100} is an apocalyptic number.

111102020111100 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 111102020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167040871200000).

111102020111100 is an abundant number, since it is smaller than the sum of its proper divisors (222979722288900).

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

111102020111100 is a wasteful number, since it uses less digits than its factorization.

111102020111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199253 (or 199246 counting only the distinct ones).

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

Adding to 111102020111100 its reverse (1111020201111), we get a palindrome (112213040312211).

111102020111100 divided by its reverse (1111020201111) gives a square (100 = 10²).

The spelling of 111102020111100 in words is "one hundred eleven trillion, one hundred two billion, twenty million, one hundred eleven thousand, one hundred".