2011020011221 has 8 divisors (see below), whose sum is σ = 2167108415640. Its totient is φ = 1855130829312.

The previous prime is 2011020011159. The next prime is 2011020011227. The reversal of 2011020011221 is 1221100201102.

It can be written as a sum of positive squares in 4 ways, for example, as 2816424900 + 2008203586321 = 53070^2 + 1417111^2 .

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 2011020011221 - 2¹⁹ = 2011019486933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011020011227) 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, 49784656 + ... + 49825033.

It is an arithmetic number, because the mean of its divisors is an integer number (270888551955).

Almost surely, 2^{2011020011221} is an apocalyptic number.

It is an amenable number.

2011020011221 is a deficient number, since it is larger than the sum of its proper divisors (156088404419).

2011020011221 is a wasteful number, since it uses less digits than its factorization.

2011020011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99611255.

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

Adding to 2011020011221 its reverse (1221100201102), we get a palindrome (3232120212323).

The spelling of 2011020011221 in words is "two trillion, eleven billion, twenty million, eleven thousand, two hundred twenty-one".