221121121112001 has 48 divisors (see below), whose sum is σ = 349886676110400. Its totient is φ = 133453827072000.

The previous prime is 221121121111967. The next prime is 221121121112147. The reversal of 221121121112001 is 100211121121122.

It is a happy number.

221121121112001 is a `hidden beast` number, since 221 + 1 + 211 + 21 + 11 + 200 + 1 = 666.

It is not a de Polignac number, because 221121121112001 - 2¹⁵ = 221121121079233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221121121112401) 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 47 ways as a sum of consecutive naturals, for example, 1690320886 + ... + 1690451696.

It is an arithmetic number, because the mean of its divisors is an integer number (7289305752300).

Almost surely, 2^{221121121112001} is an apocalyptic number.

It is an amenable number.

221121121112001 is a deficient number, since it is larger than the sum of its proper divisors (128765554998399).

221121121112001 is a wasteful number, since it uses less digits than its factorization.

221121121112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201918 (or 201915 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 221121121112001 its reverse (100211121121122), we get a palindrome (321332242233123).

The spelling of 221121121112001 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, one".