103121113200 has 240 divisors, whose sum is σ = 378262146816. Its totient is φ = 23524300800.

The previous prime is 103121113187. The next prime is 103121113201. The reversal of 103121113200 is 2311121301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 103121113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4364619 + ... + 4388181.

Almost surely, 2^103121113200 is an apocalyptic number.

103121113200 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 103121113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189131073408).

103121113200 is an abundant number, since it is smaller than the sum of its proper divisors (275141033616).

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

103121113200 is a wasteful number, since it uses less digits than its factorization.

103121113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112 (or 24101 counting only the distinct ones).

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

Adding to 103121113200 its reverse (2311121301), we get a palindrome (105432234501).

The spelling of 103121113200 in words is "one hundred three billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred".