221102101221001 has 48 divisors (see below), whose sum is σ = 302584463049600. Its totient is φ = 156855923228160.

The previous prime is 221102101220993. The next prime is 221102101221037. The reversal of 221102101221001 is 100122101201122.

It is not a de Polignac number, because 221102101221001 - 2³ = 221102101220993 is a prime.

It is a super-2 number, since 2×221102101221001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221102101221601) 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, 115425826 + ... + 117325723.

It is an arithmetic number, because the mean of its divisors is an integer number (6303842980200).

Almost surely, 2^{221102101221001} is an apocalyptic number.

It is an amenable number.

221102101221001 is a deficient number, since it is larger than the sum of its proper divisors (81482361828599).

221102101221001 is a wasteful number, since it uses less digits than its factorization.

221102101221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232751666 (or 232751653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221102101221001 its reverse (100122101201122), we get a palindrome (321224202422123).

The spelling of 221102101221001 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, one".