1101103414224 has 240 divisors, whose sum is σ = 3439714844160. Its totient is φ = 300385310720.

The previous prime is 1101103414217. The next prime is 1101103414237. The reversal of 1101103414224 is 4224143011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1101103414194 and 1101103414203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352747 + ... + 3666485.

It is an arithmetic number, because the mean of its divisors is an integer number (14332145184).

Almost surely, 2^{1101103414224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101103414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719857422080).

1101103414224 is an abundant number, since it is smaller than the sum of its proper divisors (2338611429936).

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

1101103414224 is a wasteful number, since it uses less digits than its factorization.

1101103414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313818 (or 313795 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1101103414224 its reverse (4224143011011), we get a palindrome (5325246425235).

The spelling of 1101103414224 in words is "one trillion, one hundred one billion, one hundred three million, four hundred fourteen thousand, two hundred twenty-four".