103200231242000 has 320 divisors, whose sum is σ = 265997344604160. Its totient is φ = 38615258304000.

The previous prime is 103200231241999. The next prime is 103200231242033. The reversal of 103200231242000 is 242132002301.

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, 1018235327 + ... + 1018336673.

It is an arithmetic number, because the mean of its divisors is an integer number (831241701888).

Almost surely, 2^{103200231242000} is an apocalyptic number.

103200231242000 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 103200231242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132998672302080).

103200231242000 is an abundant number, since it is smaller than the sum of its proper divisors (162797113362160).

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

103200231242000 is a wasteful number, since it uses less digits than its factorization.

103200231242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101727 (or 101711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103200231242000 its reverse (242132002301), we get a palindrome (103442363244301).

The spelling of 103200231242000 in words is "one hundred three trillion, two hundred billion, two hundred thirty-one million, two hundred forty-two thousand".