10029982200 has 768 divisors, whose sum is σ = 39806976000. Its totient is φ = 2037934080.

The previous prime is 10029982199. The next prime is 10029982211. The reversal of 10029982200 is 228992001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126961761 + ... + 126961839.

It is an arithmetic number, because the mean of its divisors is an integer number (51832000).

Almost surely, 2^10029982200 is an apocalyptic number.

10029982200 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 10029982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903488000).

10029982200 is an abundant number, since it is smaller than the sum of its proper divisors (29776993800).

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

10029982200 is a wasteful number, since it uses less digits than its factorization.

10029982200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 10029982200 in words is "ten billion, twenty-nine million, nine hundred eighty-two thousand, two hundred".