100111120120200 has 96 divisors (see below), whose sum is σ = 354679397012160. Its totient is φ = 22882541740800.

The previous prime is 100111120120199. The next prime is 100111120120303. The reversal of 100111120120200 is 2021021111001.

It is a super-2 number, since 2×100111120120200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 11917986291 + ... + 11917994690.

It is an arithmetic number, because the mean of its divisors is an integer number (3694577052210).

Almost surely, 2^{100111120120200} is an apocalyptic number.

100111120120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111120120200 is an abundant number, since it is smaller than the sum of its proper divisors (254568276891960).

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

100111120120200 is a wasteful number, since it uses less digits than its factorization.

100111120120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23835981007 (or 23835980998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111120120200 its reverse (2021021111001), we get a palindrome (102132141231201).

The spelling of 100111120120200 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty thousand, two hundred".