1100112102000 has 240 divisors, whose sum is σ = 3865907723808. Its totient is φ = 291562675200.

The previous prime is 1100112101947. The next prime is 1100112102007. The reversal of 1100112102000 is 2012110011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1100112102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2746524 + ... + 3121476.

Almost surely, 2^{1100112102000} is an apocalyptic number.

1100112102000 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 1100112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932953861904).

1100112102000 is an abundant number, since it is smaller than the sum of its proper divisors (2765795621808).

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

1100112102000 is a wasteful number, since it uses less digits than its factorization.

1100112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375145 (or 375126 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100112102000 its reverse (2012110011), we get a palindrome (1102124212011).

The spelling of 1100112102000 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred two thousand".