110010100112 has 160 divisors (see below), whose sum is σ = 247106505600. Its totient is φ = 46979072000.

The previous prime is 110010100099. The next prime is 110010100157. The reversal of 110010100112 is 211001010011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 110010100112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30412928 + ... + 30416544.

It is an arithmetic number, because the mean of its divisors is an integer number (1544415660).

Almost surely, 2^110010100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123553252800).

110010100112 is an abundant number, since it is smaller than the sum of its proper divisors (137096405488).

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

110010100112 is a wasteful number, since it uses less digits than its factorization.

110010100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110010100112 its reverse (211001010011), we get a palindrome (321011110123).

It can be divided in two parts, 11001010011 and 2, that multiplied together give a palindrome (22002020022).

The spelling of 110010100112 in words is "one hundred ten billion, ten million, one hundred thousand, one hundred twelve".