100032133201200 has 360 divisors, whose sum is σ = 364107017022528. Its totient is φ = 25402062827520.

The previous prime is 100032133201103. The next prime is 100032133201243. The reversal of 100032133201200 is 2102331230001.

100032133201200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 321 + 3 + 320 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1728877 + ... + 14249676.

Almost surely, 2^{100032133201200} is an apocalyptic number.

100032133201200 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 100032133201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182053508511264).

100032133201200 is an abundant number, since it is smaller than the sum of its proper divisors (264074883821328).

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

100032133201200 is a wasteful number, since it uses less digits than its factorization.

100032133201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15978661 (or 15978647 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100032133201200 its reverse (2102331230001), we get a palindrome (102134464431201).

The spelling of 100032133201200 in words is "one hundred trillion, thirty-two billion, one hundred thirty-three million, two hundred one thousand, two hundred".