120100002000020 has 72 divisors (see below), whose sum is σ = 295083027626184. Its totient is φ = 40939125314304.

The previous prime is 120100001999951. The next prime is 120100002000079. The reversal of 120100002000020 is 20000200001021.

It can be written as a sum of positive squares in 4 ways, for example, as 59575149628036 + 60524852371984 = 7718494^2 + 7779772^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120100001999971 and 120100002000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354024167 + ... + 354363246.

It is an arithmetic number, because the mean of its divisors is an integer number (4098375383697).

Almost surely, 2^{120100002000020} is an apocalyptic number.

120100002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100002000020 is an abundant number, since it is smaller than the sum of its proper divisors (174983025626164).

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

120100002000020 is a wasteful number, since it uses less digits than its factorization.

120100002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708387609 (or 708387600 counting only the distinct ones).

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

Adding to 120100002000020 its reverse (20000200001021), we get a palindrome (140100202001041).

The spelling of 120100002000020 in words is "one hundred twenty trillion, one hundred billion, two million, twenty", and thus it is an aban number.