103201122300000 has 288 divisors, whose sum is σ = 346481635256064. Its totient is φ = 26880288960000.

The previous prime is 103201122299983. The next prime is 103201122300011. The reversal of 103201122300000 is 3221102301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8899957 + ... + 16900043.

It is an arithmetic number, because the mean of its divisors is an integer number (1203061233528).

Almost surely, 2^{103201122300000} is an apocalyptic number.

103201122300000 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 103201122300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173240817628032).

103201122300000 is an abundant number, since it is smaller than the sum of its proper divisors (243280512956064).

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

103201122300000 is an frugal number, since it uses more digits than its factorization.

103201122300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000168 (or 8000140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103201122300000 its reverse (3221102301), we get a palindrome (103204343402301).

The spelling of 103201122300000 in words is "one hundred three trillion, two hundred one billion, one hundred twenty-two million, three hundred thousand".