100122121120112 has 240 divisors, whose sum is σ = 243858111894432. Its totient is φ = 39471769774080.

The previous prime is 100122121120031. The next prime is 100122121120159. The reversal of 100122121120112 is 211021121221001.

100122121120112 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, 3479952287 + ... + 3479981057.

Almost surely, 2^{100122121120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122121120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121929055947216).

100122121120112 is an abundant number, since it is smaller than the sum of its proper divisors (143735990774320).

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

100122121120112 is a wasteful number, since it uses less digits than its factorization.

100122121120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29976 (or 29963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100122121120112 its reverse (211021121221001), we get a palindrome (311143242341113).

The spelling of 100122121120112 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twelve".