2112120112102 has 128 divisors (see below), whose sum is σ = 4394747363328. Its totient is φ = 734472835200.

The previous prime is 2112120112073. The next prime is 2112120112147. The reversal of 2112120112102 is 2012110212112.

It is a super-2 number, since 2×2112120112102² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 75887913 + ... + 75915739.

It is an arithmetic number, because the mean of its divisors is an integer number (34333963776).

Almost surely, 2^{2112120112102} is an apocalyptic number.

2112120112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112120112102 is an abundant number, since it is smaller than the sum of its proper divisors (2282627251226).

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

2112120112102 is a wasteful number, since it uses less digits than its factorization.

2112120112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29114.

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

Adding to 2112120112102 its reverse (2012110212112), we get a palindrome (4124230324214).

It can be divided in two parts, 2112120 and 112102, that added together give a palindrome (2224222).

The spelling of 2112120112102 in words is "two trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred two".