1100000001100 has 432 divisors, whose sum is σ = 3399225491200. Its totient is φ = 299820787200.

The previous prime is 1100000001097. The next prime is 1100000001127. The reversal of 1100000001100 is 11000000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1100000001100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20894611 + ... + 20947189.

Almost surely, 2^{1100000001100} is an apocalyptic number.

1100000001100 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 1100000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699612745600).

1100000001100 is an abundant number, since it is smaller than the sum of its proper divisors (2299225490100).

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

1100000001100 is a wasteful number, since it uses less digits than its factorization.

1100000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52654 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1100000001100 its reverse (11000000011), we get a palindrome (1111000001111).

1100000001100 divided by its reverse (11000000011) gives a square (100 = 10²).

The spelling of 1100000001100 in words is "one trillion, one hundred billion, one thousand, one hundred".