1121340100 has 144 divisors (see below), whose sum is σ = 2712326400. Its totient is φ = 400619520.

The previous prime is 1121340047. The next prime is 1121340127. The reversal of 1121340100 is 10431211.

It is an unprimeable number.

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, 2589484 + ... + 2589916.

It is an arithmetic number, because the mean of its divisors is an integer number (18835600).

Almost surely, 2^1121340100 is an apocalyptic number.

1121340100 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 1121340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356163200).

1121340100 is an abundant number, since it is smaller than the sum of its proper divisors (1590986300).

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

1121340100 is a wasteful number, since it uses less digits than its factorization.

1121340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1121340100 is about 33486.4166491430. The cubic root of 1121340100 is about 1038.9128494108.

Adding to 1121340100 its reverse (10431211), we get a palindrome (1131771311).

The spelling of 1121340100 in words is "one billion, one hundred twenty-one million, three hundred forty thousand, one hundred".