103201140000 has 960 divisors, whose sum is σ = 412832851200. Its totient is φ = 22063104000.

The previous prime is 103201139989. The next prime is 103201140017. The reversal of 103201140000 is 41102301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 450659886 + ... + 450660114.

It is an arithmetic number, because the mean of its divisors is an integer number (430034220).

Almost surely, 2^103201140000 is an apocalyptic number.

103201140000 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 103201140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206416425600).

103201140000 is an abundant number, since it is smaller than the sum of its proper divisors (309631711200).

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

103201140000 is a wasteful number, since it uses less digits than its factorization.

103201140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103201140000 its reverse (41102301), we get a palindrome (103242242301).

The spelling of 103201140000 in words is "one hundred three billion, two hundred one million, one hundred forty thousand".