221122201102001 has 16 divisors (see below), whose sum is σ = 221909823979200. Its totient is φ = 220335911908608.

The previous prime is 221122201101943. The next prime is 221122201102021. The reversal of 221122201102001 is 100201102221122.

It is a cyclic number.

It is not a de Polignac number, because 221122201102001 - 2³⁴ = 221105021232817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221122201102021) 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 15 ways as a sum of consecutive naturals, for example, 1435101101 + ... + 1435255173.

It is an arithmetic number, because the mean of its divisors is an integer number (13869363998700).

Almost surely, 2^{221122201102001} is an apocalyptic number.

It is an amenable number.

221122201102001 is a deficient number, since it is larger than the sum of its proper divisors (787622877199).

221122201102001 is a wasteful number, since it uses less digits than its factorization.

221122201102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158368.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221122201102001 its reverse (100201102221122), we get a palindrome (321323303323123).

The spelling of 221122201102001 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred one million, one hundred two thousand, one".