210212002121121 has 384 divisors, whose sum is σ = 421105242894336. Its totient is φ = 97515436861440.

The previous prime is 210212002121063. The next prime is 210212002121123. The reversal of 210212002121121 is 121121200212012.

210212002121121 is a `hidden beast` number, since 210 + 2 + 1 + 200 + 21 + 211 + 21 = 666.

It is not a de Polignac number, because 210212002121121 - 2¹⁷ = 210212001990049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210212002121094 and 210212002121103.

It is not an unprimeable number, because it can be changed into a prime (210212002121123) 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 383 ways as a sum of consecutive naturals, for example, 45333619015 + ... + 45333623651.

It is an arithmetic number, because the mean of its divisors is an integer number (1096628236704).

Almost surely, 2^{210212002121121} is an apocalyptic number.

210212002121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210212002121121 is an abundant number, since it is smaller than the sum of its proper divisors (210893240773215).

210212002121121 is a wasteful number, since it uses less digits than its factorization.

210212002121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5458 counting only the distinct ones).

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

Adding to 210212002121121 its reverse (121121200212012), we get a palindrome (331333202333133).

The spelling of 210212002121121 in words is "two hundred ten trillion, two hundred twelve billion, two million, one hundred twenty-one thousand, one hundred twenty-one".