2112011012020 has 216 divisors, whose sum is σ = 5737779282816. Its totient is φ = 639351288576.

The previous prime is 2112011011991. The next prime is 2112011012021. The reversal of 2112011012020 is 202101102112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112011012021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12431769 + ... + 12600511.

It is an arithmetic number, because the mean of its divisors is an integer number (26563792976).

Almost surely, 2^{2112011012020} is an apocalyptic number.

2112011012020 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 2112011012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868889641408).

2112011012020 is an abundant number, since it is smaller than the sum of its proper divisors (3625768270796).

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

2112011012020 is a wasteful number, since it uses less digits than its factorization.

2112011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168831 (or 168793 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112011012020 its reverse (202101102112), we get a palindrome (2314112114132).

It can be divided in two parts, 211201 and 1012020, that added together give a palindrome (1223221).

The spelling of 2112011012020 in words is "two trillion, one hundred twelve billion, eleven million, twelve thousand, twenty".