100201330224000 has 192 divisors, whose sum is σ = 359848027684080. Its totient is φ = 26720354688000.

The previous prime is 100201330223989. The next prime is 100201330224013. The reversal of 100201330224000 is 422033102001.

100201330224000 is a `hidden beast` number, since 10 + 0 + 201 + 3 + 30 + 22 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347777286 + ... + 348065285.

Almost surely, 2^{100201330224000} is an apocalyptic number.

100201330224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201330224000 is an abundant number, since it is smaller than the sum of its proper divisors (259646697460080).

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

100201330224000 is an equidigital number, since it uses as much as digits as its factorization.

100201330224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695842606 (or 695842581 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100201330224000 its reverse (422033102001), we get a palindrome (100623363326001).

The spelling of 100201330224000 in words is "one hundred trillion, two hundred one billion, three hundred thirty million, two hundred twenty-four thousand".