110001000120 has 128 divisors (see below), whose sum is σ = 360086307840. Its totient is φ = 26660759040.

The previous prime is 110001000103. The next prime is 110001000169. The reversal of 110001000120 is 21000100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 110001000099 and 110001000108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8714934 + ... + 8727546.

It is an arithmetic number, because the mean of its divisors is an integer number (2813174280).

Almost surely, 2^110001000120 is an apocalyptic number.

110001000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001000120 is an abundant number, since it is smaller than the sum of its proper divisors (250085307720).

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

110001000120 is a wasteful number, since it uses less digits than its factorization.

110001000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19241 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110001000120 its reverse (21000100011), we get a palindrome (131001100131).

The spelling of 110001000120 in words is "one hundred ten billion, one million, one hundred twenty", and thus it is an aban number.