10100332200 has 192 divisors, whose sum is σ = 36289105920. Its totient is φ = 2276064000.

The previous prime is 10100332199. The next prime is 10100332243. The reversal of 10100332200 is 223300101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281265 + ... + 315135.

It is an arithmetic number, because the mean of its divisors is an integer number (189005760).

Almost surely, 2^10100332200 is an apocalyptic number.

10100332200 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 10100332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144552960).

10100332200 is an abundant number, since it is smaller than the sum of its proper divisors (26188773720).

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

10100332200 is a wasteful number, since it uses less digits than its factorization.

10100332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33968 (or 33959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10100332200 its reverse (223300101), we get a palindrome (10323632301).

The spelling of 10100332200 in words is "ten billion, one hundred million, three hundred thirty-two thousand, two hundred".