10351010000 has 200 divisors, whose sum is σ = 26624352480. Its totient is φ = 3886272000.

The previous prime is 10351009913. The next prime is 10351010003. The reversal of 10351010000 is 1015301.

10351010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10351010003) 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, 29829827 + ... + 29830173.

Almost surely, 2^10351010000 is an apocalyptic number.

10351010000 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 10351010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312176240).

10351010000 is an abundant number, since it is smaller than the sum of its proper divisors (16273342480).

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

10351010000 is a wasteful number, since it uses less digits than its factorization.

10351010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 10351010000 its reverse (1015301), we get a palindrome (10352025301).

The spelling of 10351010000 in words is "ten billion, three hundred fifty-one million, ten thousand".