103121020200000 has 2016 divisors, whose sum is σ = 389561758701696. Its totient is φ = 23869440000000.

The previous prime is 103121020199927. The next prime is 103121020200001. The reversal of 103121020200000 is 2020121301.

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

It is not an unprimeable number, because it can be changed into a prime (103121020200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 912575399944 + ... + 912575400056.

It is an arithmetic number, because the mean of its divisors is an integer number (193234999356).

Almost surely, 2^{103121020200000} is an apocalyptic number.

103121020200000 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 103121020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194780879350848).

103121020200000 is an abundant number, since it is smaller than the sum of its proper divisors (286440738501696).

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

103121020200000 is a wasteful number, since it uses less digits than its factorization.

103121020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 272 counting only the distinct ones).

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

Adding to 103121020200000 its reverse (2020121301), we get a palindrome (103123040321301).

The spelling of 103121020200000 in words is "one hundred three trillion, one hundred twenty-one billion, twenty million, two hundred thousand".