100011200200 has 24 divisors (see below), whose sum is σ = 232526040930. Its totient is φ = 40004480000.

The previous prime is 100011200147. The next prime is 100011200249. The reversal of 100011200200 is 2002110001.

It can be written as a sum of positive squares in 3 ways, for example, as 55695056004 + 44316144196 = 235998^2 + 210514^2 .

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 5 ways as a sum of consecutive naturals, for example, 250027801 + ... + 250028200.

Almost surely, 2^100011200200 is an apocalyptic number.

100011200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011200200 is an abundant number, since it is smaller than the sum of its proper divisors (132514840730).

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

100011200200 is a wasteful number, since it uses less digits than its factorization.

100011200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500056017 (or 500056008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100011200200 its reverse (2002110001), we get a palindrome (102013310201).

The spelling of 100011200200 in words is "one hundred billion, eleven million, two hundred thousand, two hundred".