2012012100020 has 48 divisors (see below), whose sum is σ = 4550363126400. Its totient is φ = 742877122176.

The previous prime is 2012012099989. The next prime is 2012012100029. The reversal of 2012012100020 is 200012102102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012012099974 and 2012012100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012012100029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12928631 + ... + 13083329.

It is an arithmetic number, because the mean of its divisors is an integer number (94799231800).

Almost surely, 2^{2012012100020} is an apocalyptic number.

2012012100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012012100020 is an abundant number, since it is smaller than the sum of its proper divisors (2538351026380).

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

2012012100020 is a wasteful number, since it uses less digits than its factorization.

2012012100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204744 (or 204742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2012012100020 its reverse (200012102102), we get a palindrome (2212024202122).

The spelling of 2012012100020 in words is "two trillion, twelve billion, twelve million, one hundred thousand, twenty".