110100112120 has 64 divisors (see below), whose sum is σ = 258248528640. Its totient is φ = 42197376000.

The previous prime is 110100112051. The next prime is 110100112127. The reversal of 110100112120 is 21211001011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110100112097 and 110100112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100112127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 314317 + ... + 564796.

It is an arithmetic number, because the mean of its divisors is an integer number (4035133260).

Almost surely, 2^110100112120 is an apocalyptic number.

110100112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100112120 is an abundant number, since it is smaller than the sum of its proper divisors (148148416520).

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

110100112120 is a wasteful number, since it uses less digits than its factorization.

110100112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879256 (or 879252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110100112120 its reverse (21211001011), we get a palindrome (131311113131).

The spelling of 110100112120 in words is "one hundred ten billion, one hundred million, one hundred twelve thousand, one hundred twenty".