103201103144000 has 448 divisors, whose sum is σ = 264967901872128. Its totient is φ = 39791533824000.

The previous prime is 103201103143969. The next prime is 103201103144089. The reversal of 103201103144000 is 441301102301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41832630767 + ... + 41832633233.

It is an arithmetic number, because the mean of its divisors is an integer number (591446209536).

Almost surely, 2^{103201103144000} is an apocalyptic number.

103201103144000 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 103201103144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132483950936064).

103201103144000 is an abundant number, since it is smaller than the sum of its proper divisors (161766798728128).

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

103201103144000 is a wasteful number, since it uses less digits than its factorization.

103201103144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103201103144000 its reverse (441301102301), we get a palindrome (103642404246301).

The spelling of 103201103144000 in words is "one hundred three trillion, two hundred one billion, one hundred three million, one hundred forty-four thousand".