21102221221011 has 72 divisors (see below), whose sum is σ = 36608592868224. Its totient is φ = 11667094225920.

The previous prime is 21102221221009. The next prime is 21102221221013. The reversal of 21102221221011 is 11012212220112.

21102221221011 is a `hidden beast` number, since 211 + 0 + 2 + 221 + 221 + 0 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (21102221221009) and next prime (21102221221013).

It is not a de Polignac number, because 21102221221011 - 2¹ = 21102221221009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21102221221013) 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 71 ways as a sum of consecutive naturals, for example, 69255651 + ... + 69559683.

Almost surely, 2^{21102221221011} is an apocalyptic number.

21102221221011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21102221221011 is a deficient number, since it is larger than the sum of its proper divisors (15506371647213).

21102221221011 is a wasteful number, since it uses less digits than its factorization.

21102221221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309161 (or 309151 counting only the distinct ones).

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

Adding to 21102221221011 its reverse (11012212220112), we get a palindrome (32114433441123).

The spelling of 21102221221011 in words is "twenty-one trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, eleven".