10001340200 has 144 divisors (see below), whose sum is σ = 24370562580. Its totient is φ = 3816529920.

The previous prime is 10001340199. The next prime is 10001340203. The reversal of 10001340200 is 204310001.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 2359433476 + 7641906724 = 48574^2 + 87418^2 .

It is a super-2 number, since 2×10001340200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001340203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16315094 + ... + 16315706.

Almost surely, 2^10001340200 is an apocalyptic number.

10001340200 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 10001340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185281290).

10001340200 is an abundant number, since it is smaller than the sum of its proper divisors (14369222380).

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

10001340200 is a wasteful number, since it uses less digits than its factorization.

10001340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10001340200 its reverse (204310001), we get a palindrome (10205650201).

The spelling of 10001340200 in words is "ten billion, one million, three hundred forty thousand, two hundred".