11110110100000 has 144 divisors (see below), whose sum is σ = 27345824270856. Its totient is φ = 4443022080000.

The previous prime is 11110110099971. The next prime is 11110110100013. The reversal of 11110110100000 is 101101111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1925888919696 + 9184221180304 = 1387764^2 + 3030548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555690004 + ... + 555709996.

Almost surely, 2^{11110110100000} is an apocalyptic number.

11110110100000 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 11110110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672912135428).

11110110100000 is an abundant number, since it is smaller than the sum of its proper divisors (16235714170856).

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

11110110100000 is an frugal number, since it uses more digits than its factorization.

11110110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25585 (or 25557 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11110110100000 its reverse (101101111), we get a palindrome (11110211201111).

The spelling of 11110110100000 in words is "eleven trillion, one hundred ten billion, one hundred ten million, one hundred thousand".