212121101000105 has 32 divisors (see below), whose sum is σ = 278073938822400. Its totient is φ = 154054337382400.

The previous prime is 212121101000077. The next prime is 212121101000117. The reversal of 212121101000105 is 501000101121212.

It is not a de Polignac number, because 212121101000105 - 2¹⁰ = 212121100999081 is a prime.

It is a super-3 number, since 3×212121101000105³ (a number of 44 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225132785 + ... + 226073025.

It is an arithmetic number, because the mean of its divisors is an integer number (8689810588200).

Almost surely, 2^{212121101000105} is an apocalyptic number.

It is an amenable number.

212121101000105 is a deficient number, since it is larger than the sum of its proper divisors (65952837822295).

212121101000105 is a wasteful number, since it uses less digits than its factorization.

212121101000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945985.

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

Adding to 212121101000105 its reverse (501000101121212), we get a palindrome (713121202121317).

The spelling of 212121101000105 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred five", and thus it is an aban number.