1112133002100 has 576 divisors, whose sum is σ = 3570971443200. Its totient is φ = 266245056000.

The previous prime is 1112133002089. The next prime is 1112133002111. The reversal of 1112133002100 is 12003312111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1112133002089) and next prime (1112133002111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112133002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1122232605 + ... + 1122233595.

It is an arithmetic number, because the mean of its divisors is an integer number (6199603200).

Almost surely, 2^{1112133002100} is an apocalyptic number.

1112133002100 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 1112133002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785485721600).

1112133002100 is an abundant number, since it is smaller than the sum of its proper divisors (2458838441100).

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

1112133002100 is a wasteful number, since it uses less digits than its factorization.

1112133002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1112133002100 its reverse (12003312111), we get a palindrome (1124136314211).

The spelling of 1112133002100 in words is "one trillion, one hundred twelve billion, one hundred thirty-three million, two thousand, one hundred".