101144145022041 has 32 divisors (see below), whose sum is σ = 148175281852416. Its totient is φ = 60860378808000.

The previous prime is 101144145022009. The next prime is 101144145022043. The reversal of 101144145022041 is 140220541441101.

It is not a de Polignac number, because 101144145022041 - 2⁵ = 101144145022009 is a prime.

It is a super-3 number, since 3×101144145022041³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101144145022043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10322955 + ... + 17574176.

It is an arithmetic number, because the mean of its divisors is an integer number (4630477557888).

Almost surely, 2^{101144145022041} is an apocalyptic number.

101144145022041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101144145022041 is a deficient number, since it is larger than the sum of its proper divisors (47031136830375).

101144145022041 is a wasteful number, since it uses less digits than its factorization.

101144145022041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27897933.

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 101144145022041 its reverse (140220541441101), we get a palindrome (241364686463142).

The spelling of 101144145022041 in words is "one hundred one trillion, one hundred forty-four billion, one hundred forty-five million, twenty-two thousand, forty-one".