111201100001112 has 512 divisors, whose sum is σ = 327303679426560. Its totient is φ = 31108976640000.

The previous prime is 111201100001081. The next prime is 111201100001207. The reversal of 111201100001112 is 211100001102111.

It is a super-2 number, since 2×111201100001112² (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62227811083 + ... + 62227812869.

It is an arithmetic number, because the mean of its divisors is an integer number (639264998880).

Almost surely, 2^{111201100001112} is an apocalyptic number.

111201100001112 is a gapful number since it is divisible by the number (12) 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 111201100001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163651839713280).

111201100001112 is an abundant number, since it is smaller than the sum of its proper divisors (216102579425448).

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

111201100001112 is a wasteful number, since it uses less digits than its factorization.

111201100001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

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

Adding to 111201100001112 its reverse (211100001102111), we get a palindrome (322301101103223).

The spelling of 111201100001112 in words is "one hundred eleven trillion, two hundred one billion, one hundred million, one thousand, one hundred twelve".