110001122112120 has 256 divisors, whose sum is σ = 337680530432640. Its totient is φ = 28656204914688.

The previous prime is 110001122112107. The next prime is 110001122112121. The reversal of 110001122112120 is 21211221100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110001122112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001122112121) 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 63 ways as a sum of consecutive naturals, for example, 1768106134 + ... + 1768168346.

Almost surely, 2^{110001122112120} is an apocalyptic number.

110001122112120 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 110001122112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168840265216320).

110001122112120 is an abundant number, since it is smaller than the sum of its proper divisors (227679408320520).

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

110001122112120 is a wasteful number, since it uses less digits than its factorization.

110001122112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63474 (or 63470 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110001122112120 its reverse (21211221100011), we get a palindrome (131212343212131).

The spelling of 110001122112120 in words is "one hundred ten trillion, one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".