221101311232101 has 16 divisors (see below), whose sum is σ = 310363393154240. Its totient is φ = 139622339900160.

The previous prime is 221101311232079. The next prime is 221101311232129. The reversal of 221101311232101 is 101232113101122.

It is not a de Polignac number, because 221101311232101 - 2⁶ = 221101311232037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101311232601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285631060 + ... + 286404093.

It is an arithmetic number, because the mean of its divisors is an integer number (19397712072140).

Almost surely, 2^{221101311232101} is an apocalyptic number.

It is an amenable number.

221101311232101 is a deficient number, since it is larger than the sum of its proper divisors (89262081922139).

221101311232101 is a wasteful number, since it uses less digits than its factorization.

221101311232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572041956.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 221101311232101 its reverse (101232113101122), we get a palindrome (322333424333223).

The spelling of 221101311232101 in words is "two hundred twenty-one trillion, one hundred one billion, three hundred eleven million, two hundred thirty-two thousand, one hundred one".