2101303131201 has 6 divisors (see below), whose sum is σ = 3035215633970. Its totient is φ = 1400868754128.

The previous prime is 2101303131143. The next prime is 2101303131211. The reversal of 2101303131201 is 1021313031012.

2101303131201 is a `hidden beast` number, since 21 + 0 + 130 + 313 + 1 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2075907521601 + 25395609600 = 1440801^2 + 159360^2 .

It is not a de Polignac number, because 2101303131201 - 2¹⁷ = 2101303000129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101303131211) 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 5 ways as a sum of consecutive naturals, for example, 116739062836 + ... + 116739062853.

Almost surely, 2^{2101303131201} is an apocalyptic number.

It is an amenable number.

2101303131201 is a deficient number, since it is larger than the sum of its proper divisors (933912502769).

2101303131201 is a wasteful number, since it uses less digits than its factorization.

2101303131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233478125695 (or 233478125692 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2101303131201 its reverse (1021313031012), we get a palindrome (3122616162213).

The spelling of 2101303131201 in words is "two trillion, one hundred one billion, three hundred three million, one hundred thirty-one thousand, two hundred one".