21222211021011 has 256 divisors, whose sum is σ = 42687558144000. Its totient is φ = 10062601850880.

The previous prime is 21222211020971. The next prime is 21222211021027. The reversal of 21222211021011 is 11012011222212.

21222211021011 is a `hidden beast` number, since 21 + 222 + 211 + 0 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 21222211021011 - 2²¹ = 21222208923859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21222211026011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1499477911 + ... + 1499492063.

It is an arithmetic number, because the mean of its divisors is an integer number (166748274000).

Almost surely, 2^{21222211021011} is an apocalyptic number.

21222211021011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21222211021011 is an abundant number, since it is smaller than the sum of its proper divisors (21465347122989).

21222211021011 is a wasteful number, since it uses less digits than its factorization.

21222211021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811 (or 14805 counting only the distinct ones).

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

Adding to 21222211021011 its reverse (11012011222212), we get a palindrome (32234222243223).

The spelling of 21222211021011 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, twenty-one thousand, eleven".