101871952241 has 2 divisors, whose sum is σ = 101871952242. Its totient is φ = 101871952240.

The previous prime is 101871952177. The next prime is 101871952373. The reversal of 101871952241 is 142259178101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73710078016 + 28161874225 = 271496^2 + 167815^2 .

It is a cyclic number.

It is not a de Polignac number, because 101871952241 - 2⁶ = 101871952177 is a prime.

It is not a weakly prime, because it can be changed into another prime (101871954241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50935976120 + 50935976121.

It is an arithmetic number, because the mean of its divisors is an integer number (50935976121).

Almost surely, 2^101871952241 is an apocalyptic number.

It is an amenable number.

101871952241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101871952241 is an equidigital number, since it uses as much as digits as its factorization.

101871952241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 101871952241 in words is "one hundred one billion, eight hundred seventy-one million, nine hundred fifty-two thousand, two hundred forty-one".