2112012010220 has 192 divisors, whose sum is σ = 5336617015296. Its totient is φ = 686444267520.

The previous prime is 2112012010187. The next prime is 2112012010253. The reversal of 2112012010220 is 220102102112.

It is an interprime number because it is at equal distance from previous prime (2112012010187) and next prime (2112012010253).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2112012010195 and 2112012010204.

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, 291589919 + ... + 291597161.

It is an arithmetic number, because the mean of its divisors is an integer number (27794880288).

Almost surely, 2^{2112012010220} is an apocalyptic number.

2112012010220 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 2112012010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668308507648).

2112012010220 is an abundant number, since it is smaller than the sum of its proper divisors (3224605005076).

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

2112012010220 is a wasteful number, since it uses less digits than its factorization.

2112012010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112012010220 its reverse (220102102112), we get a palindrome (2332114112332).

The spelling of 2112012010220 in words is "two trillion, one hundred twelve billion, twelve million, ten thousand, two hundred twenty".