1000103112000 has 560 divisors, whose sum is σ = 3860764756992. Its totient is φ = 255094963200.

The previous prime is 1000103111941. The next prime is 1000103112007. The reversal of 1000103112000 is 2113010001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000103112007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14870449 + ... + 14937551.

Almost surely, 2^{1000103112000} is an apocalyptic number.

1000103112000 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 1000103112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930382378496).

1000103112000 is an abundant number, since it is smaller than the sum of its proper divisors (2860661644992).

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

1000103112000 is an equidigital number, since it uses as much as digits as its factorization.

1000103112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67165 (or 67136 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000103112000 its reverse (2113010001), we get a palindrome (1002216122001).

The spelling of 1000103112000 in words is "one trillion, one hundred three million, one hundred twelve thousand".