2121210110105 has 32 divisors (see below), whose sum is σ = 2586421182240. Its totient is φ = 1669875793920.

The previous prime is 2121210110059. The next prime is 2121210110143. The reversal of 2121210110105 is 5010110121212.

It can be written as a sum of positive squares in 16 ways, for example, as 888168650329 + 1233041459776 = 942427^2 + 1110424^2 .

It is not a de Polignac number, because 2121210110105 - 2⁸ = 2121210109849 is a prime.

It is a super-3 number, since 3×2121210110105³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 84507917 + ... + 84533013.

It is an arithmetic number, because the mean of its divisors is an integer number (80825661945).

Almost surely, 2^{2121210110105} is an apocalyptic number.

It is an amenable number.

2121210110105 is a deficient number, since it is larger than the sum of its proper divisors (465211072135).

2121210110105 is a wasteful number, since it uses less digits than its factorization.

2121210110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26189.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 2121210110105 its reverse (5010110121212), we get a palindrome (7131320231317).

The spelling of 2121210110105 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one hundred ten thousand, one hundred five".