201021021011221 has 16 divisors (see below), whose sum is σ = 206534064180528. Its totient is φ = 195537173708800.

The previous prime is 201021021011207. The next prime is 201021021011243. The reversal of 201021021011221 is 122110120120102.

It can be written as a sum of positive squares in 8 ways, for example, as 12524981074225 + 188496039936996 = 3539065^2 + 13729386^2 .

It is a cyclic number.

It is not a de Polignac number, because 201021021011221 - 2¹¹ = 201021021009173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201021021011195 and 201021021011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021021018221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111371781 + ... + 113162341.

It is an arithmetic number, because the mean of its divisors is an integer number (12908379011283).

Almost surely, 2^{201021021011221} is an apocalyptic number.

It is an amenable number.

201021021011221 is a deficient number, since it is larger than the sum of its proper divisors (5513043169307).

201021021011221 is a wasteful number, since it uses less digits than its factorization.

201021021011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798712.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201021021011221 its reverse (122110120120102), we get a palindrome (323131141131323).

The spelling of 201021021011221 in words is "two hundred one trillion, twenty-one billion, twenty-one million, eleven thousand, two hundred twenty-one".