1112001002100 has 144 divisors (see below), whose sum is σ = 3575239295040. Its totient is φ = 296503574400.

The previous prime is 1112001002087. The next prime is 1112001002107. The reversal of 1112001002100 is 12001002111.

It is a happy number.

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 (1112001002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43351879 + ... + 43377521.

It is an arithmetic number, because the mean of its divisors is an integer number (24828050660).

Almost surely, 2^{1112001002100} is an apocalyptic number.

1112001002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112001002100 is an abundant number, since it is smaller than the sum of its proper divisors (2463238292940).

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

1112001002100 is a wasteful number, since it uses less digits than its factorization.

1112001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41727 (or 41714 counting only the distinct ones).

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

Adding to 1112001002100 its reverse (12001002111), we get a palindrome (1124002004211).

The spelling of 1112001002100 in words is "one trillion, one hundred twelve billion, one million, two thousand, one hundred".