10002013200 has 180 divisors, whose sum is σ = 34799751220. Its totient is φ = 2660290560.

The previous prime is 10002013187. The next prime is 10002013207. The reversal of 10002013200 is 231020001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 160579584 + 9841433616 = 12672^2 + 99204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (10002013207) 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, 1469004 + ... + 1475796.

Almost surely, 2^10002013200 is an apocalyptic number.

10002013200 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 10002013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399875610).

10002013200 is an abundant number, since it is smaller than the sum of its proper divisors (24797738020).

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

10002013200 is a wasteful number, since it uses less digits than its factorization.

10002013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10002013200 its reverse (231020001), we get a palindrome (10233033201).

The spelling of 10002013200 in words is "ten billion, two million, thirteen thousand, two hundred".