100100111121200 has 180 divisors, whose sum is σ = 251424842389560. Its totient is φ = 38295577436160.

The previous prime is 100100111121193. The next prime is 100100111121209. The reversal of 100100111121200 is 2121111001001.

It is not an unprimeable number, because it can be changed into a prime (100100111121209) 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 35 ways as a sum of consecutive naturals, for example, 3751443059 + ... + 3751469741.

It is an arithmetic number, because the mean of its divisors is an integer number (1396804679942).

Almost surely, 2^{100100111121200} is an apocalyptic number.

100100111121200 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 100100111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125712421194780).

100100111121200 is an abundant number, since it is smaller than the sum of its proper divisors (151324731268360).

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

100100111121200 is a wasteful number, since it uses less digits than its factorization.

100100111121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44476 (or 44442 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100100111121200 its reverse (2121111001001), we get a palindrome (102221222122201).

The spelling of 100100111121200 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".