111002112 has 240 divisors, whose sum is σ = 368648280. Its totient is φ = 31850496.

The previous prime is 111002107. The next prime is 111002137. The reversal of 111002112 is 211200111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 12278016 = 9936^2 + 3504^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111002094 and 111002103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018314 + ... + 1018422.

Almost surely, 2^111002112 is an apocalyptic number.

111002112 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 111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

111002112 is an abundant number, since it is smaller than the sum of its proper divisors (257646168).

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

111002112 is a wasteful number, since it uses less digits than its factorization.

111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111002112 is about 10535.7539834603. The cubic root of 111002112 is about 480.5926014147.

Adding to 111002112 its reverse (211200111), we get a palindrome (322202223).

The spelling of 111002112 in words is "one hundred eleven million, two thousand, one hundred twelve".