10311122201011 has 2 divisors, whose sum is σ = 10311122201012. Its totient is φ = 10311122201010.

The previous prime is 10311122200987. The next prime is 10311122201053. The reversal of 10311122201011 is 11010222111301.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10311122201011 - 2⁹ = 10311122200499 is a prime.

It is not a weakly prime, because it can be changed into another prime (10311122204011) 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, 5155561100505 + 5155561100506.

It is an arithmetic number, because the mean of its divisors is an integer number (5155561100506).

Almost surely, 2^{10311122201011} is an apocalyptic number.

10311122201011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311122201011 is an equidigital number, since it uses as much as digits as its factorization.

10311122201011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10311122201011 its reverse (11010222111301), we get a palindrome (21321344312312).

The spelling of 10311122201011 in words is "ten trillion, three hundred eleven billion, one hundred twenty-two million, two hundred one thousand, eleven".