212001102121221 has 96 divisors (see below), whose sum is σ = 354761479987200. Its totient is φ = 119488118630400.

The previous prime is 212001102121183. The next prime is 212001102121297. The reversal of 212001102121221 is 122121201100212.

212001102121221 is a `hidden beast` number, since 2 + 120 + 0 + 110 + 212 + 1 + 221 = 666.

It is not a de Polignac number, because 212001102121221 - 2¹⁴ = 212001102104837 is a prime.

It is a super-2 number, since 2×212001102121221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212001102121194 and 212001102121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001102129221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33936462720 + ... + 33936468966.

It is an arithmetic number, because the mean of its divisors is an integer number (3695432083200).

Almost surely, 2^{212001102121221} is an apocalyptic number.

212001102121221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212001102121221 is a deficient number, since it is larger than the sum of its proper divisors (142760377865979).

212001102121221 is a wasteful number, since it uses less digits than its factorization.

212001102121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12199 (or 12196 counting only the distinct ones).

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

Adding to 212001102121221 its reverse (122121201100212), we get a palindrome (334122303221433).

The spelling of 212001102121221 in words is "two hundred twelve trillion, one billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty-one".