100120121112 has 128 divisors (see below), whose sum is σ = 285249600000. Its totient is φ = 28987453440.

The previous prime is 100120121081. The next prime is 100120121131. The reversal of 100120121112 is 211121021001.

100120121112 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5632014 + ... + 5649762.

It is an arithmetic number, because the mean of its divisors is an integer number (2228512500).

Almost surely, 2^100120121112 is an apocalyptic number.

100120121112 is a gapful number since it is divisible by the number (12) 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 100120121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142624800000).

100120121112 is an abundant number, since it is smaller than the sum of its proper divisors (185129478888).

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

100120121112 is a wasteful number, since it uses less digits than its factorization.

100120121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18721 (or 18717 counting only the distinct ones).

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

Adding to 100120121112 its reverse (211121021001), we get a palindrome (311241142113).

The spelling of 100120121112 in words is "one hundred billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twelve".