110100110111120 has 160 divisors (see below), whose sum is σ = 271675343316960. Its totient is φ = 41352454471680.

The previous prime is 110100110111119. The next prime is 110100110111149. The reversal of 110100110111120 is 21111011001011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 12531231842704 + 97568878268416 = 3539948^2 + 9877696^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1536966824 + ... + 1537038456.

It is an arithmetic number, because the mean of its divisors is an integer number (1697970895731).

Almost surely, 2^{110100110111120} is an apocalyptic number.

110100110111120 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 110100110111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135837671658480).

110100110111120 is an abundant number, since it is smaller than the sum of its proper divisors (161575233205840).

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

110100110111120 is a wasteful number, since it uses less digits than its factorization.

110100110111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74293 (or 74287 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110100110111120 its reverse (21111011001011), we get a palindrome (131211121112131).

The spelling of 110100110111120 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".