221102013022133 has 16 divisors (see below), whose sum is σ = 222013834156800. Its totient is φ = 220192560048960.

The previous prime is 221102013022127. The next prime is 221102013022141. The reversal of 221102013022133 is 331220310201122.

It is a cyclic number.

It is not a de Polignac number, because 221102013022133 - 2²² = 221102008827829 is a prime.

It is a super-2 number, since 2×221102013022133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221102013022099 and 221102013022108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102013022733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461910263 + ... + 462388683.

It is an arithmetic number, because the mean of its divisors is an integer number (13875864634800).

Almost surely, 2^{221102013022133} is an apocalyptic number.

It is an amenable number.

221102013022133 is a deficient number, since it is larger than the sum of its proper divisors (911821134667).

221102013022133 is a wasteful number, since it uses less digits than its factorization.

221102013022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480892.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 221102013022133 its reverse (331220310201122), we get a palindrome (552322323223255).

The spelling of 221102013022133 in words is "two hundred twenty-one trillion, one hundred two billion, thirteen million, twenty-two thousand, one hundred thirty-three".