100201133323200 has 336 divisors, whose sum is σ = 404607039603200. Its totient is φ = 21141337927680.

The previous prime is 100201133323189. The next prime is 100201133323211. The reversal of 100201133323200 is 2323331102001.

It is an interprime number because it is at equal distance from previous prime (100201133323189) and next prime (100201133323211).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114262300 + ... + 115135899.

Almost surely, 2^{100201133323200} is an apocalyptic number.

100201133323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201133323200 is an abundant number, since it is smaller than the sum of its proper divisors (304405906280000).

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

100201133323200 is a wasteful number, since it uses less digits than its factorization.

100201133323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229398244 (or 229398229 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100201133323200 its reverse (2323331102001), we get a palindrome (102524464425201).

The spelling of 100201133323200 in words is "one hundred trillion, two hundred one billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred".