103210020000 has 360 divisors, whose sum is σ = 376698758436. Its totient is φ = 26777088000.

The previous prime is 103210019977. The next prime is 103210020013. The reversal of 103210020000 is 20012301.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 6217637904 + 96992382096 = 78852^2 + 311436^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6652252 + ... + 6667748.

Almost surely, 2^103210020000 is an apocalyptic number.

103210020000 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 103210020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188349379218).

103210020000 is an abundant number, since it is smaller than the sum of its proper divisors (273488738436).

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

103210020000 is a wasteful number, since it uses less digits than its factorization.

103210020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15570 (or 15544 counting only the distinct ones).

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

Adding to 103210020000 its reverse (20012301), we get a palindrome (103230032301).

The spelling of 103210020000 in words is "one hundred three billion, two hundred ten million, twenty thousand".