100111202112200 has 96 divisors (see below), whose sum is σ = 246995066750400. Its totient is φ = 37654205909760.

The previous prime is 100111202112191. The next prime is 100111202112209. The reversal of 100111202112200 is 2211202111001.

It is an interprime number because it is at equal distance from previous prime (100111202112191) and next prime (100111202112209).

It is not an unprimeable number, because it can be changed into a prime (100111202112209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184163387 + ... + 184706186.

It is an arithmetic number, because the mean of its divisors is an integer number (2572865278650).

Almost surely, 2^{100111202112200} is an apocalyptic number.

100111202112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111202112200 is an abundant number, since it is smaller than the sum of its proper divisors (146883864638200).

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

100111202112200 is a wasteful number, since it uses less digits than its factorization.

100111202112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368869671 (or 368869662 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100111202112200 its reverse (2211202111001), we get a palindrome (102322404223201).

The spelling of 100111202112200 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, one hundred twelve thousand, two hundred".