110120000100 has 144 divisors (see below), whose sum is σ = 348966164736. Its totient is φ = 26589200000.

The previous prime is 110120000059. The next prime is 110120000113. The reversal of 110120000100 is 1000021011.

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 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 47 ways as a sum of consecutive naturals, for example, 761827 + ... + 894773.

It is an arithmetic number, because the mean of its divisors is an integer number (2423376144).

Almost surely, 2^110120000100 is an apocalyptic number.

110120000100 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 110120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174483082368).

110120000100 is an abundant number, since it is smaller than the sum of its proper divisors (238846164636).

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

110120000100 is a wasteful number, since it uses less digits than its factorization.

110120000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133226 (or 133219 counting only the distinct ones).

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

Adding to 110120000100 its reverse (1000021011), we get a palindrome (111120021111).

The spelling of 110120000100 in words is "one hundred ten billion, one hundred twenty million, one hundred", and thus it is an aban number.