211221010201221 has 48 divisors (see below), whose sum is σ = 322126583601600. Its totient is φ = 136758604862880.

The previous prime is 211221010201183. The next prime is 211221010201309. The reversal of 211221010201221 is 122102010122112.

211221010201221 is a `hidden beast` number, since 2 + 11 + 221 + 0 + 10 + 201 + 221 = 666.

It is not a de Polignac number, because 211221010201221 - 2⁷ = 211221010201093 is a prime.

It is a super-2 number, since 2×211221010201221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221010201194 and 211221010201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221010251221) 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 47 ways as a sum of consecutive naturals, for example, 2461986 + ... + 20700323.

It is an arithmetic number, because the mean of its divisors is an integer number (6710970491700).

Almost surely, 2^{211221010201221} is an apocalyptic number.

It is an amenable number.

211221010201221 is a deficient number, since it is larger than the sum of its proper divisors (110905573400379).

211221010201221 is an equidigital number, since it uses as much as digits as its factorization.

211221010201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23162527 (or 23162450 counting only the distinct ones).

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

Adding to 211221010201221 its reverse (122102010122112), we get a palindrome (333323020323333).

The spelling of 211221010201221 in words is "two hundred eleven trillion, two hundred twenty-one billion, ten million, two hundred one thousand, two hundred twenty-one".