2121112000221 has 8 divisors (see below), whose sum is σ = 2870360517984. Its totient is φ = 1392969074640.

The previous prime is 2121112000201. The next prime is 2121112000237. The reversal of 2121112000221 is 1220002111212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2121112000221 - 2¹⁸ = 2121111738077 is a prime.

It is a super-3 number, since 3×2121112000221³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2121112000221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5276397810 + ... + 5276398211.

It is an arithmetic number, because the mean of its divisors is an integer number (358795064748).

Almost surely, 2^{2121112000221} is an apocalyptic number.

It is an amenable number.

2121112000221 is a deficient number, since it is larger than the sum of its proper divisors (749248517763).

2121112000221 is a wasteful number, since it uses less digits than its factorization.

2121112000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552796091.

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

Adding to 2121112000221 its reverse (1220002111212), we get a palindrome (3341114111433).

The spelling of 2121112000221 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.