221001221011101 has 32 divisors (see below), whose sum is σ = 303708623904000. Its totient is φ = 142842921062400.

The previous prime is 221001221011091. The next prime is 221001221011133. The reversal of 221001221011101 is 101110122100122.

It is a happy number.

It is not a de Polignac number, because 221001221011101 - 2⁴⁷ = 80263732655773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001221011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49712125 + ... + 53974973.

It is an arithmetic number, because the mean of its divisors is an integer number (9490894497000).

Almost surely, 2^{221001221011101} is an apocalyptic number.

It is an amenable number.

221001221011101 is a deficient number, since it is larger than the sum of its proper divisors (82707402892899).

221001221011101 is a wasteful number, since it uses less digits than its factorization.

221001221011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264549.

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

Adding to 221001221011101 its reverse (101110122100122), we get a palindrome (322111343111223).

It can be divided in two parts, 22100122 and 1011101, that multiplied together give a palindrome (22345455454322).

The spelling of 221001221011101 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, eleven thousand, one hundred one".