221122201012011 has 64 divisors (see below), whose sum is σ = 358578295770240. Its totient is φ = 133841721323520.

The previous prime is 221122201011937. The next prime is 221122201012087. The reversal of 221122201012011 is 110210102221122.

221122201012011 is a `hidden beast` number, since 221 + 12 + 220 + 10 + 1 + 201 + 1 = 666.

It is not a de Polignac number, because 221122201012011 - 2¹⁸ = 221122200749867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221122201012091) 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, 1643805091 + ... + 1643939603.

It is an arithmetic number, because the mean of its divisors is an integer number (5602785871410).

Almost surely, 2^{221122201012011} is an apocalyptic number.

221122201012011 is a deficient number, since it is larger than the sum of its proper divisors (137456094758229).

221122201012011 is a wasteful number, since it uses less digits than its factorization.

221122201012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211373 (or 211367 counting only the distinct ones).

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

Adding to 221122201012011 its reverse (110210102221122), we get a palindrome (331332303233133).

The spelling of 221122201012011 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred one million, twelve thousand, eleven".