100201200100200 has 144 divisors (see below), whose sum is σ = 351139857887520. Its totient is φ = 25558566971520.

The previous prime is 100201200100123. The next prime is 100201200100289. The reversal of 100201200100200 is 2001002102001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210118022 + ... + 1210200821.

It is an arithmetic number, because the mean of its divisors is an integer number (2438471235330).

Almost surely, 2^{100201200100200} is an apocalyptic number.

100201200100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201200100200 is an abundant number, since it is smaller than the sum of its proper divisors (250938657787320).

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

100201200100200 is a wasteful number, since it uses less digits than its factorization.

100201200100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420318888 (or 2420318876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100201200100200 its reverse (2001002102001), we get a palindrome (102202202202201).

The spelling of 100201200100200 in words is "one hundred trillion, two hundred one billion, two hundred million, one hundred thousand, two hundred".