10103003412000 has 384 divisors, whose sum is σ = 34251558082560. Its totient is φ = 2600258662400.

The previous prime is 10103003411989. The next prime is 10103003412031. The reversal of 10103003412000 is 21430030101.

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, 1636640914 + ... + 1636647086.

It is an arithmetic number, because the mean of its divisors is an integer number (89196765840).

Almost surely, 2^{10103003412000} is an apocalyptic number.

10103003412000 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 10103003412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125779041280).

10103003412000 is an abundant number, since it is smaller than the sum of its proper divisors (24148554670560).

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

10103003412000 is a wasteful number, since it uses less digits than its factorization.

10103003412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10933 (or 10915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10103003412000 its reverse (21430030101), we get a palindrome (10124433442101).

The spelling of 10103003412000 in words is "ten trillion, one hundred three billion, three million, four hundred twelve thousand".