11101110000000 has 1024 divisors, whose sum is σ = 38653916670720. Its totient is φ = 2820096000000.

The previous prime is 11101109999977. The next prime is 11101110000067. The reversal of 11101110000000 is 1110111.

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 127 ways as a sum of consecutive naturals, for example, 81029999932 + ... + 81030000068.

Almost surely, 2^{11101110000000} is an apocalyptic number.

11101110000000 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 11101110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326958335360).

11101110000000 is an abundant number, since it is smaller than the sum of its proper divisors (27552806670720).

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

11101110000000 is an frugal number, since it uses more digits than its factorization.

11101110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 257 counting only the distinct ones).

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

Adding to 11101110000000 its reverse (1110111), we get a palindrome (11101111110111).

11101110000000 divided by its reverse (1110111) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 1110 and 1110000000, that multiplied together give a square (1232100000000 = 1110000²).

The spelling of 11101110000000 in words is "eleven trillion, one hundred one billion, one hundred ten million", and thus it is an aban number.