101010001010197 has 2 divisors, whose sum is σ = 101010001010198. Its totient is φ = 101010001010196.

The previous prime is 101010001010167. The next prime is 101010001010213. The reversal of 101010001010197 is 791010100010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77643131433156 + 23366869577041 = 8811534^2 + 4833929^2 .

It is an emirp because it is prime and its reverse (791010100010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010001010197 - 2¹⁹ = 101010000485909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010001010167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000505098 + 50505000505099.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000505099).

Almost surely, 2^{101010001010197} is an apocalyptic number.

It is an amenable number.

101010001010197 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001010197 is an equidigital number, since it uses as much as digits as its factorization.

101010001010197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 22.

Adding to 101010001010197 its reverse (791010100010101), we get a palindrome (892020101020298).

The spelling of 101010001010197 in words is "one hundred one trillion, ten billion, one million, ten thousand, one hundred ninety-seven".