2012100020 has 48 divisors (see below), whose sum is σ = 4831602048. Its totient is φ = 689496960.

The previous prime is 2012099983. The next prime is 2012100037. The reversal of 2012100020 is 200012102.

It is a junction number, because it is equal to n+sod(n) for n = 2012099980 and 2012100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475715 + ... + 479925.

It is an arithmetic number, because the mean of its divisors is an integer number (100658376).

Almost surely, 2^2012100020 is an apocalyptic number.

2012100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012100020 is an abundant number, since it is smaller than the sum of its proper divisors (2819502028).

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

2012100020 is a wasteful number, since it uses less digits than its factorization.

2012100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7638 counting only the distinct ones).

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

The square root of 2012100020 is about 44856.4378880000. The cubic root of 2012100020 is about 1262.4567879861.

Adding to 2012100020 its reverse (200012102), we get a palindrome (2212112122).

The spelling of 2012100020 in words is "two billion, twelve million, one hundred thousand, twenty".