11222120221011 has 384 divisors, whose sum is σ = 21309536102400. Its totient is φ = 5538164244480.

The previous prime is 11222120221003. The next prime is 11222120221031. The reversal of 11222120221011 is 11012202122211.

It is not a de Polignac number, because 11222120221011 - 2³ = 11222120221003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11222120221031) 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 383 ways as a sum of consecutive naturals, for example, 33300059835 + ... + 33300060171.

It is an arithmetic number, because the mean of its divisors is an integer number (55493583600).

Almost surely, 2^{11222120221011} is an apocalyptic number.

11222120221011 is a deficient number, since it is larger than the sum of its proper divisors (10087415881389).

11222120221011 is a wasteful number, since it uses less digits than its factorization.

11222120221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 776 counting only the distinct ones).

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

Adding to 11222120221011 its reverse (11012202122211), we get a palindrome (22234322343222).

The spelling of 11222120221011 in words is "eleven trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, eleven".