103103121000000 has 1568 divisors, whose sum is σ = 384603147016704. Its totient is φ = 24159744000000.

The previous prime is 103103120999953. The next prime is 103103121000037. The reversal of 103103121000000 is 121301301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103103121000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 160346999679 + ... + 160347000321.

Almost surely, 2^{103103121000000} is an apocalyptic number.

103103121000000 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 103103121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192301573508352).

103103121000000 is an abundant number, since it is smaller than the sum of its proper divisors (281500026016704).

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

103103121000000 is an equidigital number, since it uses as much as digits as its factorization.

103103121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103103121000000 its reverse (121301301), we get a palindrome (103103242301301).

The spelling of 103103121000000 in words is "one hundred three trillion, one hundred three billion, one hundred twenty-one million", and thus it is an aban number.