101141041 has 12 divisors (see below), whose sum is σ = 107922780. Its totient is φ = 94764800.

The previous prime is 101141023. The next prime is 101141057. The reversal of 101141041 is 140141101.

It can be written as a sum of positive squares in 6 ways, for example, as 11289600 + 89851441 = 3360^2 + 9479^2 .

It is not a de Polignac number, because 101141041 - 2¹¹ = 101138993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101141021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77091 + ... + 78391.

It is an arithmetic number, because the mean of its divisors is an integer number (8993565).

Almost surely, 2^101141041 is an apocalyptic number.

It is an amenable number.

101141041 is a deficient number, since it is larger than the sum of its proper divisors (6781739).

101141041 is a wasteful number, since it uses less digits than its factorization.

101141041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 101141041 is about 10056.8902251143. The cubic root of 101141041 is about 465.9176252929.

Adding to 101141041 its reverse (140141101), we get a palindrome (241282142).

The spelling of 101141041 in words is "one hundred one million, one hundred forty-one thousand, forty-one".