212101210022121 has 96 divisors (see below), whose sum is σ = 372011945410560. Its totient is φ = 113854470331392.

The previous prime is 212101210022087. The next prime is 212101210022167. The reversal of 212101210022121 is 121220012101212.

212101210022121 is a `hidden beast` number, since 2 + 1 + 210 + 1 + 210 + 0 + 221 + 21 = 666.

It is not a de Polignac number, because 212101210022121 - 2¹⁹ = 212101209497833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101210022094 and 212101210022103.

It is not an unprimeable number, because it can be changed into a prime (212101211022121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3097554741 + ... + 3097623213.

It is an arithmetic number, because the mean of its divisors is an integer number (3875124431360).

Almost surely, 2^{212101210022121} is an apocalyptic number.

212101210022121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212101210022121 is a deficient number, since it is larger than the sum of its proper divisors (159910735388439).

212101210022121 is a wasteful number, since it uses less digits than its factorization.

212101210022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114375 (or 114372 counting only the distinct ones).

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

Adding to 212101210022121 its reverse (121220012101212), we get a palindrome (333321222123333).

The spelling of 212101210022121 in words is "two hundred twelve trillion, one hundred one billion, two hundred ten million, twenty-two thousand, one hundred twenty-one".