110001110000100 has 288 divisors, whose sum is σ = 347739166602240. Its totient is φ = 26625817152000.

The previous prime is 110001110000011. The next prime is 110001110000143. The reversal of 110001110000100 is 1000011100011.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12099996555 + ... + 12100005645.

Almost surely, 2^{110001110000100} is an apocalyptic number.

110001110000100 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 110001110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173869583301120).

110001110000100 is an abundant number, since it is smaller than the sum of its proper divisors (237738056602140).

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

110001110000100 is a wasteful number, since it uses less digits than its factorization.

110001110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14371 (or 14364 counting only the distinct ones).

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

Adding to 110001110000100 its reverse (1000011100011), we get a palindrome (111001121100111).

It can be divided in two parts, 1100011 and 10000100, that added together give a palindrome (11100111).

The spelling of 110001110000100 in words is "one hundred ten trillion, one billion, one hundred ten million, one hundred", and thus it is an aban number.