100001333200 has 120 divisors (see below), whose sum is σ = 246161887488. Its totient is φ = 39019223040.

The previous prime is 100001333189. The next prime is 100001333251. The reversal of 100001333200 is 2333100001.

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 23 ways as a sum of consecutive naturals, for example, 14840232 + ... + 14846968.

Almost surely, 2^100001333200 is an apocalyptic number.

100001333200 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 100001333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123080943744).

100001333200 is an abundant number, since it is smaller than the sum of its proper divisors (146160554288).

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

100001333200 is a wasteful number, since it uses less digits than its factorization.

100001333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100001333200 its reverse (2333100001), we get a palindrome (102334433201).

The spelling of 100001333200 in words is "one hundred billion, one million, three hundred thirty-three thousand, two hundred".