110101100100000 has 576 divisors, whose sum is σ = 391391917564032. Its totient is φ = 26990530560000.

The previous prime is 110101100099981. The next prime is 110101100100023. The reversal of 110101100100000 is 1001101011.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 219048972 + ... + 219551028.

It is an arithmetic number, because the mean of its divisors is an integer number (679499856882).

Almost surely, 2^{110101100100000} is an apocalyptic number.

110101100100000 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 110101100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195695958782016).

110101100100000 is an abundant number, since it is smaller than the sum of its proper divisors (281290817464032).

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

110101100100000 is an equidigital number, since it uses as much as digits as its factorization.

110101100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502155 (or 502127 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110101100100000 its reverse (1001101011), we get a palindrome (110102101201011).

The spelling of 110101100100000 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred thousand".