10131322210021 has 2 divisors, whose sum is σ = 10131322210022. Its totient is φ = 10131322210020.

The previous prime is 10131322210007. The next prime is 10131322210133. The reversal of 10131322210021 is 12001222313101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10022200997796 + 109121212225 = 3165786^2 + 330335^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131322210021 - 2⁵ = 10131322209989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131322220021) 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, 5065661105010 + 5065661105011.

It is an arithmetic number, because the mean of its divisors is an integer number (5065661105011).

Almost surely, 2^{10131322210021} is an apocalyptic number.

It is an amenable number.

10131322210021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131322210021 is an equidigital number, since it uses as much as digits as its factorization.

10131322210021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10131322210021 its reverse (12001222313101), we get a palindrome (22132544523122).

The spelling of 10131322210021 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-two million, two hundred ten thousand, twenty-one".