103121320400 has 240 divisors, whose sum is σ = 293728343040. Its totient is φ = 34040832000.

The previous prime is 103121320399. The next prime is 103121320403. The reversal of 103121320400 is 4023121301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121320403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32559617 + ... + 32562783.

It is an arithmetic number, because the mean of its divisors is an integer number (1223868096).

Almost surely, 2^103121320400 is an apocalyptic number.

103121320400 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 103121320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146864171520).

103121320400 is an abundant number, since it is smaller than the sum of its proper divisors (190607022640).

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

103121320400 is a wasteful number, since it uses less digits than its factorization.

103121320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103121320400 its reverse (4023121301), we get a palindrome (107144441701).

The spelling of 103121320400 in words is "one hundred three billion, one hundred twenty-one million, three hundred twenty thousand, four hundred".