101255042241 has 12 divisors (see below), whose sum is σ = 146275069668. Its totient is φ = 67495152384.

The previous prime is 101255042237. The next prime is 101255042279. The reversal of 101255042241 is 142240552101.

It is a happy number.

101255042241 is a `hidden beast` number, since 10 + 125 + 504 + 2 + 24 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27205203600 + 74049838641 = 164940^2 + 272121^2 .

It is not a de Polignac number, because 101255042241 - 2² = 101255042237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101255042221) 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 in 11 ways as a sum of consecutive naturals, for example, 605500 + ... + 754413.

It is an arithmetic number, because the mean of its divisors is an integer number (12189589139).

Almost surely, 2^101255042241 is an apocalyptic number.

It is an amenable number.

101255042241 is a deficient number, since it is larger than the sum of its proper divisors (45020027427).

101255042241 is a wasteful number, since it uses less digits than its factorization.

101255042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368192 (or 1368189 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 101255042241 its reverse (142240552101), we get a palindrome (243495594342).

The spelling of 101255042241 in words is "one hundred one billion, two hundred fifty-five million, forty-two thousand, two hundred forty-one".