1100000011100 has 72 divisors (see below), whose sum is σ = 2414345992800. Its totient is φ = 434969579520.

The previous prime is 1100000011093. The next prime is 1100000011111. The reversal of 1100000011100 is 11100000011.

It is a Harshad number since it is a multiple of its sum of digits (5).

1100000011100 is a modest number, since divided by 11100 gives 1100 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

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, 8539976 + ... + 8667824.

Almost surely, 2^{1100000011100} is an apocalyptic number.

1100000011100 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 1100000011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207172996400).

1100000011100 is an abundant number, since it is smaller than the sum of its proper divisors (1314345981700).

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

1100000011100 is a wasteful number, since it uses less digits than its factorization.

1100000011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128847 (or 128840 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1100000011100 its reverse (11100000011), we get a palindrome (1111100011111).

The spelling of 1100000011100 in words is "one trillion, one hundred billion, eleven thousand, one hundred".