103210020000000 has 864 divisors, whose sum is σ = 382051964522592. Its totient is φ = 26777088000000.

The previous prime is 103210019999971. The next prime is 103210020000019. The reversal of 103210020000000 is 20012301.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 90567045955584 + 12642974044416 = 9516672^2 + 3555696^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6659992252 + ... + 6660007748.

It is an arithmetic number, because the mean of its divisors is an integer number (442189773753).

Almost surely, 2^{103210020000000} is an apocalyptic number.

103210020000000 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 103210020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191025982261296).

103210020000000 is an abundant number, since it is smaller than the sum of its proper divisors (278841944522592).

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

103210020000000 is an frugal number, since it uses more digits than its factorization.

103210020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15591 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 103210020000000 its reverse (20012301), we get a palindrome (103210040012301).

The spelling of 103210020000000 in words is "one hundred three trillion, two hundred ten billion, twenty million", and thus it is an aban number.