10002112201200 has 180 divisors, whose sum is σ = 37271136276600. Its totient is φ = 2286197061120.

The previous prime is 10002112201189. The next prime is 10002112201271. The reversal of 10002112201200 is 210221120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84993175 + ... + 85110774.

Almost surely, 2^{10002112201200} is an apocalyptic number.

10002112201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002112201200 is an abundant number, since it is smaller than the sum of its proper divisors (27269024075400).

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

10002112201200 is a wasteful number, since it uses less digits than its factorization.

10002112201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170103984 (or 170103966 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002112201200 its reverse (210221120001), we get a palindrome (10212333321201).

The spelling of 10002112201200 in words is "ten trillion, two billion, one hundred twelve million, two hundred one thousand, two hundred".