1003102110000 has 200 divisors, whose sum is σ = 3597942477360. Its totient is φ = 267493824000.

The previous prime is 1003102109923. The next prime is 1003102110001. The reversal of 1003102110000 is 112013001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×1003102110000³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1003102110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1587597 + ... + 2127596.

Almost surely, 2^{1003102110000} is an apocalyptic number.

1003102110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003102110000 is an abundant number, since it is smaller than the sum of its proper divisors (2594840367360).

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

1003102110000 is an equidigital number, since it uses as much as digits as its factorization.

1003102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715230 (or 3715203 counting only the distinct ones).

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

Adding to 1003102110000 its reverse (112013001), we get a palindrome (1003214123001).

The spelling of 1003102110000 in words is "one trillion, three billion, one hundred two million, one hundred ten thousand".