110001011100000 has 1152 divisors, whose sum is σ = 392291641728000. Its totient is φ = 26892518400000.

The previous prime is 110001011099999. The next prime is 110001011100023. The reversal of 110001011100000 is 1110100011.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41969098690 + ... + 41969101310.

It is an arithmetic number, because the mean of its divisors is an integer number (340530939000).

Almost surely, 2^{110001011100000} is an apocalyptic number.

110001011100000 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 110001011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196145820864000).

110001011100000 is an abundant number, since it is smaller than the sum of its proper divisors (282290630628000).

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

110001011100000 is a wasteful number, since it uses less digits than its factorization.

110001011100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2886 counting only the distinct ones).

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

Adding to 110001011100000 its reverse (1110100011), we get a palindrome (110002121200011).

It can be divided in two parts, 110001011 and 100000, that added together give a palindrome (110101011).

The spelling of 110001011100000 in words is "one hundred ten trillion, one billion, eleven million, one hundred thousand".