100111300200 has 576 divisors, whose sum is σ = 368706312000. Its totient is φ = 24246190080.

The previous prime is 100111300199. The next prime is 100111300207. The reversal of 100111300200 is 2003111001.

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

It is not an unprimeable number, because it can be changed into a prime (100111300207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 191417139 + ... + 191417661.

It is an arithmetic number, because the mean of its divisors is an integer number (640115125).

Almost surely, 2^100111300200 is an apocalyptic number.

100111300200 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 100111300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184353156000).

100111300200 is an abundant number, since it is smaller than the sum of its proper divisors (268595011800).

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

100111300200 is a wasteful number, since it uses less digits than its factorization.

100111300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100111300200 its reverse (2003111001), we get a palindrome (102114411201).

The spelling of 100111300200 in words is "one hundred billion, one hundred eleven million, three hundred thousand, two hundred".