100200202011200 has 168 divisors, whose sum is σ = 247872991875072. Its totient is φ = 39866418708480.

The previous prime is 100200202011187. The next prime is 100200202011253. The reversal of 100200202011200 is 2110202002001.

It is a happy 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, 224674832 + ... + 225120368.

Almost surely, 2^{100200202011200} is an apocalyptic number.

100200202011200 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 100200202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123936495937536).

100200202011200 is an abundant number, since it is smaller than the sum of its proper divisors (147672789863872).

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

100200202011200 is a wasteful number, since it uses less digits than its factorization.

100200202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446309 (or 446294 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100200202011200 its reverse (2110202002001), we get a palindrome (102310404013201).

The spelling of 100200202011200 in words is "one hundred trillion, two hundred billion, two hundred two million, eleven thousand, two hundred".