1101104250400 has 288 divisors, whose sum is σ = 3371952181248. Its totient is φ = 341092684800.

The previous prime is 1101104250391. The next prime is 1101104250443. The reversal of 1101104250400 is 40524011011.

It is an unprimeable number.

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, 9985969 + ... + 10095631.

It is an arithmetic number, because the mean of its divisors is an integer number (11708167296).

Almost surely, 2^{1101104250400} is an apocalyptic number.

1101104250400 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 1101104250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685976090624).

1101104250400 is an abundant number, since it is smaller than the sum of its proper divisors (2270847930848).

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

1101104250400 is a wasteful number, since it uses less digits than its factorization.

1101104250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109864 (or 109851 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 1101104250400 its reverse (40524011011), we get a palindrome (1141628261411).

The spelling of 1101104250400 in words is "one trillion, one hundred one billion, one hundred four million, two hundred fifty thousand, four hundred".