2112012102112 has 144 divisors (see below), whose sum is σ = 4620194731152. Its totient is φ = 950304960000.

The previous prime is 2112012102107. The next prime is 2112012102113.

2112012102112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112012102112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112012102113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434478562 + ... + 434483422.

It is an arithmetic number, because the mean of its divisors is an integer number (32084685633).

Almost surely, 2^{2112012102112} is an apocalyptic number.

2112012102112 is a gapful number since it is divisible by the number (22) 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 2112012102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310097365576).

2112012102112 is an abundant number, since it is smaller than the sum of its proper divisors (2508182629040).

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

2112012102112 is an equidigital number, since it uses as much as digits as its factorization.

2112012102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 2112012102112 in words is "two trillion, one hundred twelve billion, twelve million, one hundred two thousand, one hundred twelve".