10143412103000 has 128 divisors (see below), whose sum is σ = 25976631882240. Its totient is φ = 3676652080000.

The previous prime is 10143412102991. The next prime is 10143412103053. The reversal of 10143412103000 is 30121434101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938479 + ... + 4903521.

It is an arithmetic number, because the mean of its divisors is an integer number (202942436580).

Almost surely, 2^{10143412103000} is an apocalyptic number.

10143412103000 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 10143412103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12988315941120).

10143412103000 is an abundant number, since it is smaller than the sum of its proper divisors (15833219779240).

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

10143412103000 is a wasteful number, since it uses less digits than its factorization.

10143412103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965386 (or 2965372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10143412103000 its reverse (30121434101), we get a palindrome (10173533537101).

The spelling of 10143412103000 in words is "ten trillion, one hundred forty-three billion, four hundred twelve million, one hundred three thousand".