10210101002201 has 2 divisors, whose sum is σ = 10210101002202. Its totient is φ = 10210101002200.

The previous prime is 10210101002039. The next prime is 10210101002209. The reversal of 10210101002201 is 10220010101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9810802128400 + 399298873801 = 3132220^2 + 631901^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210101002201 - 2¹⁸ = 10210100740057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10210101002209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105050501100 + 5105050501101.

It is an arithmetic number, because the mean of its divisors is an integer number (5105050501101).

Almost surely, 2^{10210101002201} is an apocalyptic number.

It is an amenable number.

10210101002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210101002201 is an equidigital number, since it uses as much as digits as its factorization.

10210101002201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210101002201 its reverse (10220010101201), we get a palindrome (20430111103402).

The spelling of 10210101002201 in words is "ten trillion, two hundred ten billion, one hundred one million, two thousand, two hundred one".