211221211101201 has 96 divisors (see below), whose sum is σ = 370215470592000. Its totient is φ = 118640417049504.

The previous prime is 211221211101169. The next prime is 211221211101211. The reversal of 211221211101201 is 102101112122112.

It is a happy number.

211221211101201 is a `hidden beast` number, since 21 + 1 + 221 + 211 + 10 + 1 + 201 = 666.

It is not a de Polignac number, because 211221211101201 - 2⁵ = 211221211101169 is a prime.

It is a super-2 number, since 2×211221211101201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221211101211) 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, 824700280 + ... + 824956358.

It is an arithmetic number, because the mean of its divisors is an integer number (3856411152000).

Almost surely, 2^{211221211101201} is an apocalyptic number.

211221211101201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211221211101201 is a deficient number, since it is larger than the sum of its proper divisors (158994259490799).

211221211101201 is a wasteful number, since it uses less digits than its factorization.

211221211101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266728 (or 266715 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211221211101201 its reverse (102101112122112), we get a palindrome (313322323223313).

The spelling of 211221211101201 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred one thousand, two hundred one".