110102112120 has 768 divisors, whose sum is σ = 463738867200. Its totient is φ = 20541911040.

The previous prime is 110102112089. The next prime is 110102112139. The reversal of 110102112120 is 21211201011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110102112096 and 110102112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31109311 + ... + 31112849.

It is an arithmetic number, because the mean of its divisors is an integer number (603826650).

Almost surely, 2^110102112120 is an apocalyptic number.

110102112120 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 110102112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231869433600).

110102112120 is an abundant number, since it is smaller than the sum of its proper divisors (353636755080).

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

110102112120 is a wasteful number, since it uses less digits than its factorization.

110102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3617 counting only the distinct ones).

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

Adding to 110102112120 its reverse (21211201011), we get a palindrome (131313313131).

It can be divided in two parts, 110102 and 112120, that added together give a palindrome (222222).

The spelling of 110102112120 in words is "one hundred ten billion, one hundred two million, one hundred twelve thousand, one hundred twenty".