100110111200120 has 192 divisors, whose sum is σ = 279232543226880. Its totient is φ = 32132606440704.

The previous prime is 100110111200107. The next prime is 100110111200173. The reversal of 100110111200120 is 21002111011001.

100110111200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21505934 + ... + 25743453.

It is an arithmetic number, because the mean of its divisors is an integer number (1454336162640).

Almost surely, 2^{100110111200120} is an apocalyptic number.

100110111200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110111200120 is an abundant number, since it is smaller than the sum of its proper divisors (179122432026760).

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

100110111200120 is a wasteful number, since it uses less digits than its factorization.

100110111200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47249482 (or 47249471 counting only the distinct ones).

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

Adding to 100110111200120 its reverse (21002111011001), we get a palindrome (121112222211121).

The spelling of 100110111200120 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, two hundred thousand, one hundred twenty".