110102120112 has 80 divisors (see below), whose sum is σ = 292214868480. Its totient is φ = 35696929536.

The previous prime is 110102120081. The next prime is 110102120131. The reversal of 110102120112 is 211021201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6489913 + ... + 6506855.

It is an arithmetic number, because the mean of its divisors is an integer number (3652685856).

Almost surely, 2^110102120112 is an apocalyptic number.

110102120112 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 110102120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146107434240).

110102120112 is an abundant number, since it is smaller than the sum of its proper divisors (182112748368).

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

110102120112 is a wasteful number, since it uses less digits than its factorization.

110102120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20650 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110102120112 its reverse (211021201011), we get a palindrome (321123321123).

The spelling of 110102120112 in words is "one hundred ten billion, one hundred two million, one hundred twenty thousand, one hundred twelve".