2121221000112 has 160 divisors (see below), whose sum is σ = 5709932160000. Its totient is φ = 677750685696.

The previous prime is 2121221000111. The next prime is 2121221000131. The reversal of 2121221000112 is 2110001221212.

It is a junction number, because it is equal to n+sod(n) for n = 2121221000091 and 2121221000100.

It is not an unprimeable number, because it can be changed into a prime (2121221000111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134051433 + ... + 134067255.

It is an arithmetic number, because the mean of its divisors is an integer number (35687076000).

Almost surely, 2^{2121221000112} 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 2121221000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854966080000).

2121221000112 is an abundant number, since it is smaller than the sum of its proper divisors (3588711159888).

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

2121221000112 is a wasteful number, since it uses less digits than its factorization.

2121221000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555 (or 16549 counting only the distinct ones).

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

Adding to 2121221000112 its reverse (2110001221212), we get a palindrome (4231222221324).

The spelling of 2121221000112 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.