111201120100110 has 384 divisors, whose sum is σ = 291552921016704. Its totient is φ = 27046350028800.

The previous prime is 111201120100099. The next prime is 111201120100111. The reversal of 111201120100110 is 11001021102111.

It is a super-2 number, since 2×111201120100110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111201120100111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37606058752 + ... + 37606061708.

It is an arithmetic number, because the mean of its divisors is an integer number (759252398481).

Almost surely, 2^{111201120100110} is an apocalyptic number.

111201120100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111201120100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145776460508352).

111201120100110 is an abundant number, since it is smaller than the sum of its proper divisors (180351800916594).

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

111201120100110 is a wasteful number, since it uses less digits than its factorization.

111201120100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3295 counting only the distinct ones).

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

Adding to 111201120100110 its reverse (11001021102111), we get a palindrome (122202141202221).

The spelling of 111201120100110 in words is "one hundred eleven trillion, two hundred one billion, one hundred twenty million, one hundred thousand, one hundred ten".