101141314201 has 2 divisors, whose sum is σ = 101141314202. Its totient is φ = 101141314200.

The previous prime is 101141314163. The next prime is 101141314213. The reversal of 101141314201 is 102413141101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65600015625 + 35541298576 = 256125^2 + 188524^2 .

It is a cyclic number.

It is not a de Polignac number, because 101141314201 - 2¹⁹ = 101140789913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101141314601) 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, 50570657100 + 50570657101.

It is an arithmetic number, because the mean of its divisors is an integer number (50570657101).

Almost surely, 2^101141314201 is an apocalyptic number.

It is an amenable number.

101141314201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141314201 is an equidigital number, since it uses as much as digits as its factorization.

101141314201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101141314201 its reverse (102413141101), we get a palindrome (203554455302).

The spelling of 101141314201 in words is "one hundred one billion, one hundred forty-one million, three hundred fourteen thousand, two hundred one".