2112001221121 has 16 divisors (see below), whose sum is σ = 2343073120128. Its totient is φ = 1887610435200.

The previous prime is 2112001221107. The next prime is 2112001221139. The reversal of 2112001221121 is 1211221002112.

It is a cyclic number.

It is not a de Polignac number, because 2112001221121 - 2⁷ = 2112001220993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112001221095 and 2112001221104.

It is not an unprimeable number, because it can be changed into a prime (2112001221521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3978786 + ... + 4478251.

It is an arithmetic number, because the mean of its divisors is an integer number (146442070008).

Almost surely, 2^{2112001221121} is an apocalyptic number.

It is an amenable number.

2112001221121 is a deficient number, since it is larger than the sum of its proper divisors (231071899007).

2112001221121 is a wasteful number, since it uses less digits than its factorization.

2112001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457432.

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

Adding to 2112001221121 its reverse (1211221002112), we get a palindrome (3323222223233).

The spelling of 2112001221121 in words is "two trillion, one hundred twelve billion, one million, two hundred twenty-one thousand, one hundred twenty-one".