2112121102112 has 144 divisors (see below), whose sum is σ = 4960176623640. Its totient is φ = 882214502400.

The previous prime is 2112121102103. The next prime is 2112121102183. The reversal of 2112121102112 is 2112011212112.

It can be written as a sum of positive squares in 4 ways, for example, as 1384095778576 + 728025323536 = 1176476^2 + 853244^2 .

It is a super-2 number, since 2×2112121102112² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64850312 + ... + 64882872.

Almost surely, 2^{2112121102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112121102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480088311820).

2112121102112 is an abundant number, since it is smaller than the sum of its proper divisors (2848055521528).

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

2112121102112 is a wasteful number, since it uses less digits than its factorization.

2112121102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33635 (or 33620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2112121102112 its reverse (2112011212112), we get a palindrome (4224132314224).

The spelling of 2112121102112 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred two thousand, one hundred twelve".