212121101000123 has 24 divisors (see below), whose sum is σ = 250273122114240. Its totient is φ = 179227183524480.

The previous prime is 212121101000117. The next prime is 212121101000153. The reversal of 212121101000123 is 321000101121212.

It is a happy number.

It is not a de Polignac number, because 212121101000123 - 2¹⁰ = 212121100999099 is a prime.

It is a super-3 number, since 3×212121101000123³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212121101000153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10174643 + ... + 22973148.

It is an arithmetic number, because the mean of its divisors is an integer number (10428046754760).

Almost surely, 2^{212121101000123} is an apocalyptic number.

212121101000123 is a deficient number, since it is larger than the sum of its proper divisors (38152021114117).

212121101000123 is a wasteful number, since it uses less digits than its factorization.

212121101000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33149667 (or 33149660 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212121101000123 its reverse (321000101121212), we get a palindrome (533121202121335).

The spelling of 212121101000123 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-three", and thus it is an aban number.