221221302010311 has 16 divisors (see below), whose sum is σ = 296027727333344. Its totient is φ = 146947876475904.

The previous prime is 221221302010309. The next prime is 221221302010351. The reversal of 221221302010311 is 113010203122122.

It is not a de Polignac number, because 221221302010311 - 2¹ = 221221302010309 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 (221221302010351) 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 15 ways as a sum of consecutive naturals, for example, 426024411 + ... + 426543363.

It is an arithmetic number, because the mean of its divisors is an integer number (18501732958334).

Almost surely, 2^{221221302010311} is an apocalyptic number.

221221302010311 is a deficient number, since it is larger than the sum of its proper divisors (74806425323033).

221221302010311 is a wasteful number, since it uses less digits than its factorization.

221221302010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032210.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221221302010311 its reverse (113010203122122), we get a palindrome (334231505132433).

The spelling of 221221302010311 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred two million, ten thousand, three hundred eleven".