10013101021201 has 2 divisors, whose sum is σ = 10013101021202. Its totient is φ = 10013101021200.

The previous prime is 10013101021193. The next prime is 10013101021249. The reversal of 10013101021201 is 10212010131001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9128374542400 + 884726478801 = 3021320^2 + 940599^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013101021201 - 2³ = 10013101021193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013101022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006550510600 + 5006550510601.

It is an arithmetic number, because the mean of its divisors is an integer number (5006550510601).

Almost surely, 2^{10013101021201} is an apocalyptic number.

It is an amenable number.

10013101021201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013101021201 is an equidigital number, since it uses as much as digits as its factorization.

10013101021201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10013101021201 its reverse (10212010131001), we get a palindrome (20225111152202).

The spelling of 10013101021201 in words is "ten trillion, thirteen billion, one hundred one million, twenty-one thousand, two hundred one".