10200310000 has 100 divisors (see below), whose sum is σ = 24929388792. Its totient is φ = 4041568000.

The previous prime is 10200309953. The next prime is 10200310013. The reversal of 10200310000 is 1300201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10200310000² (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1065234 + ... + 1074766.

Almost surely, 2^10200310000 is an apocalyptic number.

10200310000 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 10200310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464694396).

10200310000 is an abundant number, since it is smaller than the sum of its proper divisors (14729078792).

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

10200310000 is an equidigital number, since it uses as much as digits as its factorization.

10200310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10200310000 its reverse (1300201), we get a palindrome (10201610201).

The spelling of 10200310000 in words is "ten billion, two hundred million, three hundred ten thousand".