2011311203101 has 2 divisors, whose sum is σ = 2011311203102. Its totient is φ = 2011311203100.

The previous prime is 2011311203047. The next prime is 2011311203107. The reversal of 2011311203101 is 1013021131102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1351699215876 + 659611987225 = 1162626^2 + 812165^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011311203101 - 2¹⁵ = 2011311170333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011311203107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005655601550 + 1005655601551.

It is an arithmetic number, because the mean of its divisors is an integer number (1005655601551).

Almost surely, 2^{2011311203101} is an apocalyptic number.

It is an amenable number.

2011311203101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011311203101 is an equidigital number, since it uses as much as digits as its factorization.

2011311203101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2011311203101 its reverse (1013021131102), we get a palindrome (3024332334203).

The spelling of 2011311203101 in words is "two trillion, eleven billion, three hundred eleven million, two hundred three thousand, one hundred one".