10100131201 has 2 divisors, whose sum is σ = 10100131202. Its totient is φ = 10100131200.

The previous prime is 10100131159. The next prime is 10100131219. The reversal of 10100131201 is 10213100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7348604176 + 2751527025 = 85724^2 + 52455^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100131201 - 2¹¹ = 10100129153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100131271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050065600 + 5050065601.

It is an arithmetic number, because the mean of its divisors is an integer number (5050065601).

Almost surely, 2^10100131201 is an apocalyptic number.

It is an amenable number.

10100131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100131201 is an equidigital number, since it uses as much as digits as its factorization.

10100131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100131201 its reverse (10213100101), we get a palindrome (20313231302).

The spelling of 10100131201 in words is "ten billion, one hundred million, one hundred thirty-one thousand, two hundred one".