1101110011200 has 252 divisors, whose sum is σ = 3953956422780. Its totient is φ = 290601861120.

The previous prime is 1101110011189. The next prime is 1101110011201. The reversal of 1101110011200 is 21100111011.

It can be written as a sum of positive squares in 6 ways, for example, as 202132966464 + 898977044736 = 449592^2 + 948144^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101110011201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1002646 + ... + 1790954.

It is an arithmetic number, because the mean of its divisors is an integer number (15690303265).

Almost surely, 2^{1101110011200} is an apocalyptic number.

1101110011200 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 1101110011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976978211390).

1101110011200 is an abundant number, since it is smaller than the sum of its proper divisors (2852846411580).

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

1101110011200 is a wasteful number, since it uses less digits than its factorization.

1101110011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788434 (or 788416 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101110011200 its reverse (21100111011), we get a palindrome (1122210122211).

The spelling of 1101110011200 in words is "one trillion, one hundred one billion, one hundred ten million, eleven thousand, two hundred".