103121000311020 has 192 divisors, whose sum is σ = 302123412864000. Its totient is φ = 26254276899840.

The previous prime is 103121000310997. The next prime is 103121000311037. The reversal of 103121000311020 is 20113000121301.

It is a happy number.

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

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, 55832281 + ... + 57649679.

It is an arithmetic number, because the mean of its divisors is an integer number (1573559442000).

Almost surely, 2^{103121000311020} is an apocalyptic number.

103121000311020 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 103121000311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061706432000).

103121000311020 is an abundant number, since it is smaller than the sum of its proper divisors (199002412552980).

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

103121000311020 is a wasteful number, since it uses less digits than its factorization.

103121000311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817928 (or 1817926 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103121000311020 its reverse (20113000121301), we get a palindrome (123234000432321).

The spelling of 103121000311020 in words is "one hundred three trillion, one hundred twenty-one billion, three hundred eleven thousand, twenty".