442100011221 has 36 divisors (see below), whose sum is σ = 743209481196. Its totient is φ = 252178248960.

The previous prime is 442100011219. The next prime is 442100011271. The reversal of 442100011221 is 122110001244.

442100011221 is a `hidden beast` number, since 442 + 1 + 0 + 0 + 0 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330350207121 + 111749804100 = 574761^2 + 334290^2 .

It is not a de Polignac number, because 442100011221 - 2¹ = 442100011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442100011194 and 442100011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442100011271) 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 35 ways as a sum of consecutive naturals, for example, 11921746 + ... + 11958771.

It is an arithmetic number, because the mean of its divisors is an integer number (20644707811).

Almost surely, 2^442100011221 is an apocalyptic number.

It is an amenable number.

442100011221 is a deficient number, since it is larger than the sum of its proper divisors (301109469975).

442100011221 is a wasteful number, since it uses less digits than its factorization.

442100011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23880562 (or 23880548 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 442100011221 its reverse (122110001244), we get a palindrome (564210012465).

The spelling of 442100011221 in words is "four hundred forty-two billion, one hundred million, eleven thousand, two hundred twenty-one".