2112010010020 has 192 divisors, whose sum is σ = 4873536460800. Its totient is φ = 765740666880.

The previous prime is 2112010009951. The next prime is 2112010010057. The reversal of 2112010010020 is 200100102112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2112010009979 and 2112010010006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302904810 + ... + 1302906430.

It is an arithmetic number, because the mean of its divisors is an integer number (25383002400).

Almost surely, 2^{2112010010020} is an apocalyptic number.

2112010010020 is a gapful number since it is divisible by the number (20) 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 2112010010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436768230400).

2112010010020 is an abundant number, since it is smaller than the sum of its proper divisors (2761526450780).

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

2112010010020 is a wasteful number, since it uses less digits than its factorization.

2112010010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2112010010020 its reverse (200100102112), we get a palindrome (2312110112132).

The spelling of 2112010010020 in words is "two trillion, one hundred twelve billion, ten million, ten thousand, twenty".