1110101112 has 80 divisors (see below), whose sum is σ = 3168075240. Its totient is φ = 363040704.

The previous prime is 1110101099. The next prime is 1110101147. The reversal of 1110101112 is 2111010111.

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 = 1110101094 and 1110101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18183 + ... + 50505.

Almost surely, 2^1110101112 is an apocalyptic number.

1110101112 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 1110101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584037620).

1110101112 is an abundant number, since it is smaller than the sum of its proper divisors (2057974128).

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

1110101112 is a wasteful number, since it uses less digits than its factorization.

1110101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32394 (or 32381 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 1110101112 is about 33318.1799022696. The cubic root of 1110101112 is about 1035.4302433059.

Adding to 1110101112 its reverse (2111010111), we get a palindrome (3221111223).

It can be divided in two parts, 111010111 and 2, that multiplied together give a palindrome (222020222).

The spelling of 1110101112 in words is "one billion, one hundred ten million, one hundred one thousand, one hundred twelve".