212121022010121 has 64 divisors (see below), whose sum is σ = 371661783091200. Its totient is φ = 116991114343488.

The previous prime is 212121022010041. The next prime is 212121022010129. The reversal of 212121022010121 is 121010220121212.

212121022010121 is a `hidden beast` number, since 212 + 1 + 210 + 220 + 1 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 212121022010121 - 2¹⁰ = 212121022009097 is a prime.

It is a super-3 number, since 3×212121022010121³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212121022010094 and 212121022010103.

It is not an unprimeable number, because it can be changed into a prime (212121022010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8776090 + ... + 22388876.

It is an arithmetic number, because the mean of its divisors is an integer number (5807215360800).

Almost surely, 2^{212121022010121} is an apocalyptic number.

212121022010121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212121022010121 is a deficient number, since it is larger than the sum of its proper divisors (159540761081079).

212121022010121 is a wasteful number, since it uses less digits than its factorization.

212121022010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13615675 (or 13615669 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121022010121 its reverse (121010220121212), we get a palindrome (333131242131333).

The spelling of 212121022010121 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty-two million, ten thousand, one hundred twenty-one".