221011122221201 has 8 divisors (see below), whose sum is σ = 239007843795840. Its totient is φ = 203156667220752.

The previous prime is 221011122221159. The next prime is 221011122221221. The reversal of 221011122221201 is 102122221110122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221011122221201 - 2³⁰ = 221010048479377 is a prime.

It is a super-2 number, since 2×221011122221201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221011122221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35566640315 + ... + 35566646528.

It is an arithmetic number, because the mean of its divisors is an integer number (29875980474480).

Almost surely, 2^{221011122221201} is an apocalyptic number.

It is an amenable number.

221011122221201 is a deficient number, since it is larger than the sum of its proper divisors (17996721574639).

221011122221201 is a wasteful number, since it uses less digits than its factorization.

221011122221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71133287095.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 221011122221201 its reverse (102122221110122), we get a palindrome (323133343331323).

The spelling of 221011122221201 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred one".