2011201020221 has 8 divisors (see below), whose sum is σ = 2029050621240. Its totient is φ = 1993352320512.

The previous prime is 2011201020203. The next prime is 2011201020223. The reversal of 2011201020221 is 1220201021102.

It can be written as a sum of positive squares in 4 ways, for example, as 79531896196 + 1931669124025 = 282014^2 + 1389845^2 .

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 2011201020221 - 2¹⁰ = 2011201019197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011201020196 and 2011201020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011201020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4740695 + ... + 5147483.

It is an arithmetic number, because the mean of its divisors is an integer number (253631327655).

Almost surely, 2^{2011201020221} is an apocalyptic number.

It is an amenable number.

2011201020221 is a deficient number, since it is larger than the sum of its proper divisors (17849601019).

2011201020221 is a wasteful number, since it uses less digits than its factorization.

2011201020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450655.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011201020221 its reverse (1220201021102), we get a palindrome (3231402041323).

The spelling of 2011201020221 in words is "two trillion, eleven billion, two hundred one million, twenty thousand, two hundred twenty-one".