11101001110000 has 150 divisors (see below), whose sum is σ = 27771613376496. Its totient is φ = 4297158000000.

The previous prime is 11101001109949. The next prime is 11101001110019. The reversal of 11101001110000 is 1110010111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9032425 + ... + 10187575.

Almost surely, 2^{11101001110000} is an apocalyptic number.

11101001110000 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 11101001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885806688248).

11101001110000 is an abundant number, since it is smaller than the sum of its proper divisors (16670612266496).

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

11101001110000 is an equidigital number, since it uses as much as digits as its factorization.

11101001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155241 (or 1155189 counting only the distinct ones).

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

Adding to 11101001110000 its reverse (1110010111), we get a palindrome (11102111120111).

It can be divided in two parts, 1110100 and 1110000, that added together give a square (2220100 = 1490²).

The spelling of 11101001110000 in words is "eleven trillion, one hundred one billion, one million, one hundred ten thousand".