100020033123120 has 480 divisors, whose sum is σ = 367464831102720. Its totient is φ = 24179361392640.

The previous prime is 100020033123091. The next prime is 100020033123137. The reversal of 100020033123120 is 21321330020001.

100020033123120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 20 + 0 + 331 + 2 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100020033123093 and 100020033123102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4543669234 + ... + 4543691246.

It is an arithmetic number, because the mean of its divisors is an integer number (765551731464).

Almost surely, 2^{100020033123120} is an apocalyptic number.

100020033123120 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 100020033123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183732415551360).

100020033123120 is an abundant number, since it is smaller than the sum of its proper divisors (267444797979600).

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

100020033123120 is a wasteful number, since it uses less digits than its factorization.

100020033123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23625 (or 23616 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100020033123120 its reverse (21321330020001), we get a palindrome (121341363143121).

The spelling of 100020033123120 in words is "one hundred trillion, twenty billion, thirty-three million, one hundred twenty-three thousand, one hundred twenty".