110010011011200 has 144 divisors (see below), whose sum is σ = 392540930018250. Its totient is φ = 29336002928640.

The previous prime is 110010011011183. The next prime is 110010011011231. The reversal of 110010011011200 is 2110110010011.

It can be written as a sum of positive squares in 3 ways, for example, as 107424269826624 + 2585741184576 = 10364568^2 + 1608024^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 17 ways as a sum of consecutive naturals, for example, 1909867225 + ... + 1909924824.

Almost surely, 2^{110010011011200} is an apocalyptic number.

110010011011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010011011200 is an abundant number, since it is smaller than the sum of its proper divisors (282530919007050).

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

110010011011200 is a wasteful number, since it uses less digits than its factorization.

110010011011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819792079 (or 3819792059 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010011011200 its reverse (2110110010011), we get a palindrome (112120121021211).

The spelling of 110010011011200 in words is "one hundred ten trillion, ten billion, eleven million, eleven thousand, two hundred".