11103121400 has 96 divisors (see below), whose sum is σ = 29563107840. Its totient is φ = 3798975360.

The previous prime is 11103121373. The next prime is 11103121411. The reversal of 11103121400 is 412130111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 696317 + ... + 712083.

It is an arithmetic number, because the mean of its divisors is an integer number (307949040).

Almost surely, 2^11103121400 is an apocalyptic number.

11103121400 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 11103121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781553920).

11103121400 is an abundant number, since it is smaller than the sum of its proper divisors (18459986440).

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

11103121400 is a wasteful number, since it uses less digits than its factorization.

11103121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11103121400 its reverse (412130111), we get a palindrome (11515251511).

The spelling of 11103121400 in words is "eleven billion, one hundred three million, one hundred twenty-one thousand, four hundred".