1101321103200 has 288 divisors, whose sum is σ = 3725311564800. Its totient is φ = 282301593600.

The previous prime is 1101321103171. The next prime is 1101321103217. The reversal of 1101321103200 is 23011231011.

It is a happy number.

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 1101321103200.

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, 11035927 + ... + 11135273.

It is an arithmetic number, because the mean of its divisors is an integer number (12935109600).

Almost surely, 2^{1101321103200} is an apocalyptic number.

1101321103200 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 1101321103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862655782400).

1101321103200 is an abundant number, since it is smaller than the sum of its proper divisors (2623990461600).

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

1101321103200 is a wasteful number, since it uses less digits than its factorization.

1101321103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99550 (or 99537 counting only the distinct ones).

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

Adding to 1101321103200 its reverse (23011231011), we get a palindrome (1124332334211).

The spelling of 1101321103200 in words is "one trillion, one hundred one billion, three hundred twenty-one million, one hundred three thousand, two hundred".