110001100100000 has 288 divisors, whose sum is σ = 272428821658224. Its totient is φ = 43718400000000.

The previous prime is 110001100099999. The next prime is 110001100100027. The reversal of 110001100100000 is 1001100011.

It can be written as a sum of positive squares in 24 ways, for example, as 57463131237136 + 52537968862864 = 7580444^2 + 7248308^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 11110095050 + ... + 11110104950.

Almost surely, 2^{110001100100000} is an apocalyptic number.

110001100100000 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 110001100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136214410829112).

110001100100000 is an abundant number, since it is smaller than the sum of its proper divisors (162427721558224).

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

110001100100000 is an frugal number, since it uses more digits than its factorization.

110001100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110001100100000 its reverse (1001100011), we get a palindrome (110002101200011).

The spelling of 110001100100000 in words is "one hundred ten trillion, one billion, one hundred million, one hundred thousand".