110100110112 has 48 divisors (see below), whose sum is σ = 321125323680. Its totient is φ = 36700036416.

The previous prime is 110100110101. The next prime is 110100110119. The reversal of 110100110112 is 211011001011.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 110100110094 and 110100110103.

It is not an unprimeable number, because it can be changed into a prime (110100110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63714478 + ... + 63716205.

It is an arithmetic number, because the mean of its divisors is an integer number (6690110910).

Almost surely, 2^110100110112 is an apocalyptic number.

110100110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110100110112 is an abundant number, since it is smaller than the sum of its proper divisors (211025213568).

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

110100110112 is a wasteful number, since it uses less digits than its factorization.

110100110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127430702 (or 127430688 counting only the distinct ones).

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

Adding to 110100110112 its reverse (211011001011), we get a palindrome (321111111123).

The spelling of 110100110112 in words is "one hundred ten billion, one hundred million, one hundred ten thousand, one hundred twelve".