2011101142321 has 2 divisors, whose sum is σ = 2011101142322. Its totient is φ = 2011101142320.

The previous prime is 2011101142291. The next prime is 2011101142333. The reversal of 2011101142321 is 1232411011102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1109997102096 + 901104040225 = 1053564^2 + 949265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011101142321 - 2¹¹ = 2011101140273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011101142381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550571160 + 1005550571161.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550571161).

Almost surely, 2^{2011101142321} is an apocalyptic number.

It is an amenable number.

2011101142321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011101142321 is an equidigital number, since it uses as much as digits as its factorization.

2011101142321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2011101142321 its reverse (1232411011102), we get a palindrome (3243512153423).

It can be divided in two parts, 201110 and 1142321, that added together give a palindrome (1343431).

The spelling of 2011101142321 in words is "two trillion, eleven billion, one hundred one million, one hundred forty-two thousand, three hundred twenty-one".