221020100110021 has 8 divisors (see below), whose sum is σ = 236433873012120. Its totient is φ = 205874392823808.

The previous prime is 221020100109911. The next prime is 221020100110087. The reversal of 221020100110021 is 120011001020122.

It can be written as a sum of positive squares in 4 ways, for example, as 31300164569025 + 189719935540996 = 5594655^2 + 13773886^2 .

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

It is not a de Polignac number, because 221020100110021 - 2¹¹ = 221020100107973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221020100109983 and 221020100110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020100110421) 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 7 ways as a sum of consecutive naturals, for example, 67016402266 + ... + 67016405563.

It is an arithmetic number, because the mean of its divisors is an integer number (29554234126515).

Almost surely, 2^{221020100110021} is an apocalyptic number.

It is an amenable number.

221020100110021 is a deficient number, since it is larger than the sum of its proper divisors (15413772902099).

221020100110021 is a wasteful number, since it uses less digits than its factorization.

221020100110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134032807943.

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

Adding to 221020100110021 its reverse (120011001020122), we get a palindrome (341031101130143).

The spelling of 221020100110021 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, one hundred ten thousand, twenty-one".