10103202000312 has 64 divisors (see below), whose sum is σ = 25462599905280. Its totient is φ = 3340466583552.

The previous prime is 10103202000247. The next prime is 10103202000329. The reversal of 10103202000312 is 21300020230101.

It is a junction number, because it is equal to n+sod(n) for n = 10103202000291 and 10103202000300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13294488 + ... + 14033880.

It is an arithmetic number, because the mean of its divisors is an integer number (397853123520).

Almost surely, 2^{10103202000312} is an apocalyptic number.

10103202000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103202000312 is an abundant number, since it is smaller than the sum of its proper divisors (15359397904968).

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

10103202000312 is a wasteful number, since it uses less digits than its factorization.

10103202000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744012 (or 744008 counting only the distinct ones).

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

Adding to 10103202000312 its reverse (21300020230101), we get a palindrome (31403222230413).

The spelling of 10103202000312 in words is "ten trillion, one hundred three billion, two hundred two million, three hundred twelve", and thus it is an aban number.