120002100100020 has 144 divisors (see below), whose sum is σ = 368548792964352. Its totient is φ = 31601554387200.

The previous prime is 120002100100013. The next prime is 120002100100031. The reversal of 120002100100020 is 20001001200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120002100099975 and 120002100100011.

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 47 ways as a sum of consecutive naturals, for example, 33415674 + ... + 36832206.

It is an arithmetic number, because the mean of its divisors is an integer number (2559366617808).

Almost surely, 2^{120002100100020} is an apocalyptic number.

120002100100020 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 120002100100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184274396482176).

120002100100020 is an abundant number, since it is smaller than the sum of its proper divisors (248546692864332).

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

120002100100020 is a wasteful number, since it uses less digits than its factorization.

120002100100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418982 (or 3418977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120002100100020 its reverse (20001001200021), we get a palindrome (140003101300041).

The spelling of 120002100100020 in words is "one hundred twenty trillion, two billion, one hundred million, one hundred thousand, twenty".