21221222102211 has 64 divisors (see below), whose sum is σ = 31087438848000. Its totient is φ = 12821933076480.

The previous prime is 21221222102191. The next prime is 21221222102231. The reversal of 21221222102211 is 11220122212212.

It is an interprime number because it is at equal distance from previous prime (21221222102191) and next prime (21221222102231).

It is not a de Polignac number, because 21221222102211 - 2⁷ = 21221222102083 is a prime.

It is a super-2 number, since 2×21221222102211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21221222102231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85445790 + ... + 85693788.

It is an arithmetic number, because the mean of its divisors is an integer number (485741232000).

Almost surely, 2^{21221222102211} is an apocalyptic number.

21221222102211 is a deficient number, since it is larger than the sum of its proper divisors (9866216745789).

21221222102211 is a wasteful number, since it uses less digits than its factorization.

21221222102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248524.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21221222102211 its reverse (11220122212212), we get a palindrome (32441344314423).

The spelling of 21221222102211 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred two thousand, two hundred eleven".