221122101101001 has 16 divisors (see below), whose sum is σ = 295011307483200. Its totient is φ = 147323828031488.

The previous prime is 221122101100991. The next prime is 221122101101021. The reversal of 221122101101001 is 100101101221122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 221122101101001 - 2³⁸ = 220847223194057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221122101101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63410050 + ... + 66806276.

It is an arithmetic number, because the mean of its divisors is an integer number (18438206717700).

Almost surely, 2^{221122101101001} is an apocalyptic number.

It is an amenable number.

221122101101001 is a deficient number, since it is larger than the sum of its proper divisors (73889206382199).

221122101101001 is a wasteful number, since it uses less digits than its factorization.

221122101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409608.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221122101101001 its reverse (100101101221122), we get a palindrome (321223202322123).

The spelling of 221122101101001 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred one thousand, one".