2112120102012 has 24 divisors (see below), whose sum is σ = 4928316978816. Its totient is φ = 704034785328.

The previous prime is 2112120102007. The next prime is 2112120102017. The reversal of 2112120102012 is 2102010212112.

It is an interprime number because it is at equal distance from previous prime (2112120102007) and next prime (2112120102017).

It is a super-2 number, since 2×2112120102012² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112120101982 and 2112120102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112120102017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239753 + ... + 2400255.

It is an arithmetic number, because the mean of its divisors is an integer number (205346540784).

Almost surely, 2^{2112120102012} is an apocalyptic number.

It is an amenable number.

2112120102012 is an abundant number, since it is smaller than the sum of its proper divisors (2816196876804).

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

2112120102012 is a wasteful number, since it uses less digits than its factorization.

2112120102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312177 (or 1312175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112120102012 its reverse (2102010212112), we get a palindrome (4214130314124).

The spelling of 2112120102012 in words is "two trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, twelve".