101311103301021 has 10 divisors (see below), whose sum is σ = 151341277770782. Its totient is φ = 67540735533960.

The previous prime is 101311103300999. The next prime is 101311103301029. The reversal of 101311103301021 is 120103301113101.

101311103301021 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 1 + 0 + 330 + 1 + 0 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100763732676996 + 547370624025 = 10038114^2 + 739845^2 .

It is not a de Polignac number, because 101311103301021 - 2¹⁰ = 101311103299997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101311103300985 and 101311103301003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311103301029) 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 in 9 ways as a sum of consecutive naturals, for example, 625377180790 + ... + 625377180951.

Almost surely, 2^{101311103301021} is an apocalyptic number.

It is an amenable number.

101311103301021 is a deficient number, since it is larger than the sum of its proper divisors (50030174469761).

101311103301021 is an equidigital number, since it uses as much as digits as its factorization.

101311103301021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250754361753 (or 1250754361744 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101311103301021 its reverse (120103301113101), we get a palindrome (221414404414122).

The spelling of 101311103301021 in words is "one hundred one trillion, three hundred eleven billion, one hundred three million, three hundred one thousand, twenty-one".