221001122222101 has 8 divisors (see below), whose sum is σ = 238005236944440. Its totient is φ = 203997582985152.

The previous prime is 221001122222059. The next prime is 221001122222113. The reversal of 221001122222101 is 101222221100122.

221001122222101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123482633451076 + 97518488771025 = 11112274^2 + 9875145^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221001122222101 - 2¹⁵ = 221001122189333 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 (221001122222171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143073586 + ... + 144610003.

It is an arithmetic number, because the mean of its divisors is an integer number (29750654618055).

Almost surely, 2^{221001122222101} is an apocalyptic number.

It is an amenable number.

221001122222101 is a deficient number, since it is larger than the sum of its proper divisors (17004114722339).

221001122222101 is a wasteful number, since it uses less digits than its factorization.

221001122222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287742695.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221001122222101 its reverse (101222221100122), we get a palindrome (322223343322223).

The spelling of 221001122222101 in words is "two hundred twenty-one trillion, one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".