100111101101120 has 56 divisors (see below), whose sum is σ = 238421320854144. Its totient is φ = 40039105199616.

The previous prime is 100111101101117. The next prime is 100111101101171. The reversal of 100111101101120 is 21101101111001.

It is a happy number.

100111101101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18434792 + ... + 23239271.

Almost surely, 2^{100111101101120} is an apocalyptic number.

100111101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111101101120 is an abundant number, since it is smaller than the sum of its proper divisors (138310219753024).

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

100111101101120 is an equidigital number, since it uses as much as digits as its factorization.

100111101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41681587 (or 41681577 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111101101120 its reverse (21101101111001), we get a palindrome (121212202212121).

The spelling of 100111101101120 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred twenty".