221000011141 has 12 divisors (see below), whose sum is σ = 276857157612. Its totient is φ = 174857151168.

The previous prime is 221000011139. The next prime is 221000011153. The reversal of 221000011141 is 141110000122.

It can be written as a sum of positive squares in 2 ways, for example, as 137137643041 + 83862368100 = 370321^2 + 289590^2 .

It is not a de Polignac number, because 221000011141 - 2¹ = 221000011139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000011741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173468760 + ... + 173470033.

It is an arithmetic number, because the mean of its divisors is an integer number (23071429801).

Almost surely, 2^221000011141 is an apocalyptic number.

It is an amenable number.

221000011141 is a deficient number, since it is larger than the sum of its proper divisors (55857146471).

221000011141 is a wasteful number, since it uses less digits than its factorization.

221000011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346938820 (or 346938813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221000011141 its reverse (141110000122), we get a palindrome (362110011263).

The spelling of 221000011141 in words is "two hundred twenty-one billion, eleven thousand, one hundred forty-one".