10103230200000 has 672 divisors, whose sum is σ = 38237760626688. Its totient is φ = 2306142720000.

The previous prime is 10103230199981. The next prime is 10103230200031. The reversal of 10103230200000 is 203230101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4565398894 + ... + 4565401106.

It is an arithmetic number, because the mean of its divisors is an integer number (56901429504).

Almost surely, 2^{10103230200000} is an apocalyptic number.

10103230200000 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 10103230200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118880313344).

10103230200000 is an abundant number, since it is smaller than the sum of its proper divisors (28134530426688).

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

10103230200000 is an equidigital number, since it uses as much as digits as its factorization.

10103230200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10103230200000 its reverse (203230101), we get a palindrome (10103433430101).

The spelling of 10103230200000 in words is "ten trillion, one hundred three billion, two hundred thirty million, two hundred thousand".