10010201111201 has 2 divisors, whose sum is σ = 10010201111202. Its totient is φ = 10010201111200.

The previous prime is 10010201111089. The next prime is 10010201111213. The reversal of 10010201111201 is 10211110201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9506590892176 + 503610219025 = 3083276^2 + 709655^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010201111201 - 2¹⁰ = 10010201110177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010201161201) 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, 5005100555600 + 5005100555601.

It is an arithmetic number, because the mean of its divisors is an integer number (5005100555601).

Almost surely, 2^{10010201111201} is an apocalyptic number.

It is an amenable number.

10010201111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010201111201 is an equidigital number, since it uses as much as digits as its factorization.

10010201111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10010201111201 its reverse (10211110201001), we get a palindrome (20221311312202).

The spelling of 10010201111201 in words is "ten trillion, ten billion, two hundred one million, one hundred eleven thousand, two hundred one".