1111100110000 has 200 divisors, whose sum is σ = 2860651286064. Its totient is φ = 416486400000.

The previous prime is 1111100109989. The next prime is 1111100110009. The reversal of 1111100110000 is 110011111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1111100110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39595975 + ... + 39624025.

Almost surely, 2^{1111100110000} is an apocalyptic number.

1111100110000 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 1111100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430325643032).

1111100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1749551176064).

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

1111100110000 is a wasteful number, since it uses less digits than its factorization.

1111100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28329 (or 28308 counting only the distinct ones).

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

Adding to 1111100110000 its reverse (110011111), we get a palindrome (1111210121111).

The spelling of 1111100110000 in words is "one trillion, one hundred eleven billion, one hundred million, one hundred ten thousand".