2121112001005 has 8 divisors (see below), whose sum is σ = 2545463848824. Its totient is φ = 1696803302400.

The previous prime is 2121112000993. The next prime is 2121112001017. The reversal of 2121112001005 is 5001002111212.

It is an interprime number because it is at equal distance from previous prime (2121112000993) and next prime (2121112001017).

It can be written as a sum of positive squares in 4 ways, for example, as 1300359350889 + 820752650116 = 1140333^2 + 905954^2 .

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

It is not a de Polignac number, because 2121112001005 - 2⁷ = 2121112000877 is a prime.

It is a super-3 number, since 3×2121112001005³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121112001005.

It is a congruent number.

It is an unprimeable number.

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, 10679056 + ... + 10875865.

It is an arithmetic number, because the mean of its divisors is an integer number (318182981103).

Almost surely, 2^{2121112001005} is an apocalyptic number.

It is an amenable number.

2121112001005 is a deficient number, since it is larger than the sum of its proper divisors (424351847819).

2121112001005 is a wasteful number, since it uses less digits than its factorization.

2121112001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21574607.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 2121112001005 its reverse (5001002111212), we get a palindrome (7122114112217).

The spelling of 2121112001005 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, one thousand, five".