10021431120101 has 2 divisors, whose sum is σ = 10021431120102. Its totient is φ = 10021431120100.

The previous prime is 10021431120037. The next prime is 10021431120143. The reversal of 10021431120101 is 10102113412001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8720953171876 + 1300477948225 = 2953126^2 + 1140385^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021431120101 - 2⁶ = 10021431120037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021431120101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021431120601) 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, 5010715560050 + 5010715560051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010715560051).

Almost surely, 2^{10021431120101} is an apocalyptic number.

It is an amenable number.

10021431120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021431120101 is an equidigital number, since it uses as much as digits as its factorization.

10021431120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10021431120101 its reverse (10102113412001), we get a palindrome (20123544532102).

The spelling of 10021431120101 in words is "ten trillion, twenty-one billion, four hundred thirty-one million, one hundred twenty thousand, one hundred one".