101024434041 has 48 divisors (see below), whose sum is σ = 142184953152. Its totient is φ = 63778715520.

The previous prime is 101024434009. The next prime is 101024434051. The reversal of 101024434041 is 140434420101.

It is not a de Polignac number, because 101024434041 - 2⁵ = 101024434009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101024434001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85108450 + ... + 85109636.

It is an arithmetic number, because the mean of its divisors is an integer number (2962186524).

Almost surely, 2^101024434041 is an apocalyptic number.

It is an amenable number.

101024434041 is a deficient number, since it is larger than the sum of its proper divisors (41160519111).

101024434041 is a wasteful number, since it uses less digits than its factorization.

101024434041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101024434041 its reverse (140434420101), we get a palindrome (241458854142).

The spelling of 101024434041 in words is "one hundred one billion, twenty-four million, four hundred thirty-four thousand, forty-one".