2011112010221 has 2 divisors, whose sum is σ = 2011112010222. Its totient is φ = 2011112010220.

The previous prime is 2011112010199. The next prime is 2011112010247. The reversal of 2011112010221 is 1220102111102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2001486438121 + 9625572100 = 1414739^2 + 98110^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011112010221 - 2⁶ = 2011112010157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011112010196 and 2011112010205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011112010821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005556005110 + 1005556005111.

It is an arithmetic number, because the mean of its divisors is an integer number (1005556005111).

Almost surely, 2^{2011112010221} is an apocalyptic number.

It is an amenable number.

2011112010221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011112010221 is an equidigital number, since it uses as much as digits as its factorization.

2011112010221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011112010221 its reverse (1220102111102), we get a palindrome (3231214121323).

The spelling of 2011112010221 in words is "two trillion, eleven billion, one hundred twelve million, ten thousand, two hundred twenty-one".