110100100111008 has 576 divisors, whose sum is σ = 345766698587520. Its totient is φ = 30574625292288.

The previous prime is 110100100111007. The next prime is 110100100111013. The reversal of 110100100111008 is 800111001001011.

It is not an unprimeable number, because it can be changed into a prime (110100100111007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47192497810 + ... + 47192500142.

It is an arithmetic number, because the mean of its divisors is an integer number (600289407270).

Almost surely, 2^{110100100111008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100100111008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172883349293760).

110100100111008 is an abundant number, since it is smaller than the sum of its proper divisors (235666598476512).

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

110100100111008 is a wasteful number, since it uses less digits than its factorization.

110100100111008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110100100111008 its reverse (800111001001011), we get a palindrome (910211101112019).

The spelling of 110100100111008 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, eight".