211221212210001 has 24 divisors (see below), whose sum is σ = 351191144216640. Its totient is φ = 119829505791456.

The previous prime is 211221212209963. The next prime is 211221212210027. The reversal of 211221212210001 is 100012212122112.

211221212210001 is a `hidden beast` number, since 21 + 1 + 221 + 212 + 210 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 211221212210001 - 2¹⁰ = 211221212208977 is a prime.

It is a super-2 number, since 2×211221212210001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221212210201) 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 23 ways as a sum of consecutive naturals, for example, 12060126690 + ... + 12060144203.

It is an arithmetic number, because the mean of its divisors is an integer number (14632964342360).

Almost surely, 2^{211221212210001} is an apocalyptic number.

211221212210001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211221212210001 is a deficient number, since it is larger than the sum of its proper divisors (139969932006639).

211221212210001 is a wasteful number, since it uses less digits than its factorization.

211221212210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24120271045 (or 24120271042 counting only the distinct ones).

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

Adding to 211221212210001 its reverse (100012212122112), we get a palindrome (311233424332113).

The spelling of 211221212210001 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, two hundred ten thousand, one".