101641361 has 2 divisors, whose sum is σ = 101641362. Its totient is φ = 101641360.

The previous prime is 101641339. The next prime is 101641363. The reversal of 101641361 is 163146101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94458961 + 7182400 = 9719^2 + 2680^2 .

It is a cyclic number.

It is not a de Polignac number, because 101641361 - 2²⁶ = 34532497 is a prime.

Together with 101641363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101641363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50820680 + 50820681.

It is an arithmetic number, because the mean of its divisors is an integer number (50820681).

Almost surely, 2^101641361 is an apocalyptic number.

It is an amenable number.

101641361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101641361 is an equidigital number, since it uses as much as digits as its factorization.

101641361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 101641361 is about 10081.7340274379. The cubic root of 101641361 is about 466.6846221549.

Adding to 101641361 its reverse (163146101), we get a palindrome (264787462).

The spelling of 101641361 in words is "one hundred one million, six hundred forty-one thousand, three hundred sixty-one".