100200201200 has 240 divisors, whose sum is σ = 279198023040. Its totient is φ = 34174080000.

The previous prime is 100200201187. The next prime is 100200201217. The reversal of 100200201200 is 2102002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8437667 + ... + 8449533.

It is an arithmetic number, because the mean of its divisors is an integer number (1163325096).

Almost surely, 2^100200201200 is an apocalyptic number.

100200201200 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 100200201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139599011520).

100200201200 is an abundant number, since it is smaller than the sum of its proper divisors (178997821840).

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

100200201200 is a wasteful number, since it uses less digits than its factorization.

100200201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12005 counting only the distinct ones).

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

Adding to 100200201200 its reverse (2102002001), we get a palindrome (102302203201).

The spelling of 100200201200 in words is "one hundred billion, two hundred million, two hundred one thousand, two hundred".