1001101022221 has 4 divisors (see below), whose sum is σ = 1001224791100. Its totient is φ = 1000977253344.

The previous prime is 1001101022219. The next prime is 1001101022227. The reversal of 1001101022221 is 1222201011001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 397549165225 + 603551856996 = 630515^2 + 776886^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001101022221 - 2¹ = 1001101022219 is a prime.

It is a super-2 number, since 2×1001101022221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101022227) 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 3 ways as a sum of consecutive naturals, for example, 61872306 + ... + 61888483.

It is an arithmetic number, because the mean of its divisors is an integer number (250306197775).

Almost surely, 2^{1001101022221} is an apocalyptic number.

It is an amenable number.

1001101022221 is a deficient number, since it is larger than the sum of its proper divisors (123768879).

1001101022221 is an equidigital number, since it uses as much as digits as its factorization.

1001101022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123768878.

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

Adding to 1001101022221 its reverse (1222201011001), we get a palindrome (2223302033222).

The spelling of 1001101022221 in words is "one trillion, one billion, one hundred one million, twenty-two thousand, two hundred twenty-one".