101101141 has 2 divisors, whose sum is σ = 101101142. Its totient is φ = 101101140.

The previous prime is 101101139. The next prime is 101101151. The reversal of 101101141 is 141101101.

It is an a-pointer prime, because the next prime (101101151) can be obtained adding 101101141 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101082916 + 18225 = 10054^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101141 - 2¹ = 101101139 is a prime.

Together with 101101139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101111) 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, 50550570 + 50550571.

It is an arithmetic number, because the mean of its divisors is an integer number (50550571).

Almost surely, 2^101101141 is an apocalyptic number.

It is an amenable number.

101101141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101141 is an equidigital number, since it uses as much as digits as its factorization.

101101141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 101101141 is about 10054.9063148296. The cubic root of 101101141 is about 465.8563492827.

Adding to 101101141 its reverse (141101101), we get a palindrome (242202242).

It can be divided in two parts, 101101 and 141, that multiplied together give a palindrome (14255241).

The spelling of 101101141 in words is "one hundred one million, one hundred one thousand, one hundred forty-one".