2120100020 has 24 divisors (see below), whose sum is σ = 4453349544. Its totient is φ = 847822976.

The previous prime is 2120099999. The next prime is 2120100023. The reversal of 2120100020 is 200010212.

It can be written as a sum of positive squares in 4 ways, for example, as 393863716 + 1726236304 = 19846^2 + 41548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120099980 and 2120100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83462 + ... + 105858.

It is an arithmetic number, because the mean of its divisors is an integer number (185556231).

Almost surely, 2^2120100020 is an apocalyptic number.

2120100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120100020 is an abundant number, since it is smaller than the sum of its proper divisors (2333249524).

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

2120100020 is a wasteful number, since it uses less digits than its factorization.

2120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27139 (or 27137 counting only the distinct ones).

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

The square root of 2120100020 is about 46044.5438678678. The cubic root of 2120100020 is about 1284.6518600455.

Adding to 2120100020 its reverse (200010212), we get a palindrome (2320110232).

The spelling of 2120100020 in words is "two billion, one hundred twenty million, one hundred thousand, twenty".