21221011022211 has 128 divisors (see below), whose sum is σ = 43109292441600. Its totient is φ = 9959400074880.

The previous prime is 21221011022209. The next prime is 21221011022293. The reversal of 21221011022211 is 11222011012212.

21221011022211 is a `hidden beast` number, since 212 + 210 + 1 + 10 + 22 + 211 = 666.

It is not a de Polignac number, because 21221011022211 - 2¹ = 21221011022209 is a prime.

It is a super-2 number, since 2×21221011022211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21221011022311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7082691 + ... + 9623228.

It is an arithmetic number, because the mean of its divisors is an integer number (336791347200).

Almost surely, 2^{21221011022211} is an apocalyptic number.

21221011022211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21221011022211 is an abundant number, since it is smaller than the sum of its proper divisors (21888281419389).

21221011022211 is a wasteful number, since it uses less digits than its factorization.

21221011022211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16706006 (or 16706000 counting only the distinct ones).

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

Adding to 21221011022211 its reverse (11222011012212), we get a palindrome (32443022034423).

Subtracting from 21221011022211 its reverse (11222011012212), we obtain a palindrome (9999000009999).

The spelling of 21221011022211 in words is "twenty-one trillion, two hundred twenty-one billion, eleven million, twenty-two thousand, two hundred eleven".