110112010100 has 144 divisors (see below), whose sum is σ = 254645451648. Its totient is φ = 41240770560.

The previous prime is 110112010097. The next prime is 110112010109. The reversal of 110112010100 is 1010211011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22999907 + ... + 23004693.

It is an arithmetic number, because the mean of its divisors is an integer number (1768371192).

Almost surely, 2^110112010100 is an apocalyptic number.

110112010100 is a gapful number since it is divisible by the number (10) 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 110112010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127322725824).

110112010100 is an abundant number, since it is smaller than the sum of its proper divisors (144533441548).

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

110112010100 is a wasteful number, since it uses less digits than its factorization.

110112010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5027 counting only the distinct ones).

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

Adding to 110112010100 its reverse (1010211011), we get a palindrome (111122221111).

The spelling of 110112010100 in words is "one hundred ten billion, one hundred twelve million, ten thousand, one hundred".