100120000110 has 128 divisors (see below), whose sum is σ = 274473239040. Its totient is φ = 23169369600.

The previous prime is 100120000087. The next prime is 100120000111. The reversal of 100120000110 is 11000021001.

100120000110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120000111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919140 + ... + 1022280.

It is an arithmetic number, because the mean of its divisors is an integer number (2144322180).

Almost surely, 2^100120000110 is an apocalyptic number.

100120000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137236619520).

100120000110 is an abundant number, since it is smaller than the sum of its proper divisors (174353238930).

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

100120000110 is a wasteful number, since it uses less digits than its factorization.

100120000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103314.

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

Adding to 100120000110 its reverse (11000021001), we get a palindrome (111120021111).

The spelling of 100120000110 in words is "one hundred billion, one hundred twenty million, one hundred ten", and thus it is an aban number.