10103123310000 has 800 divisors, whose sum is σ = 38112220185600. Its totient is φ = 2304546048000.

The previous prime is 10103123309999. The next prime is 10103123310023. The reversal of 10103123310000 is 1332130101.

It is a super-2 number, since 2×10103123310000² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 8468669404 + ... + 8468670596.

It is an arithmetic number, because the mean of its divisors is an integer number (47640275232).

Almost surely, 2^{10103123310000} is an apocalyptic number.

10103123310000 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 10103123310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056110092800).

10103123310000 is an abundant number, since it is smaller than the sum of its proper divisors (28009096875600).

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

10103123310000 is an equidigital number, since it uses as much as digits as its factorization.

10103123310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10103123310000 its reverse (1332130101), we get a palindrome (10104455440101).

The spelling of 10103123310000 in words is "ten trillion, one hundred three billion, one hundred twenty-three million, three hundred ten thousand".