101334112241 has 16 divisors (see below), whose sum is σ = 106411878144. Its totient is φ = 96314226624.

The previous prime is 101334112219. The next prime is 101334112273. The reversal of 101334112241 is 142211433101.

It is a cyclic number.

It is not a de Polignac number, because 101334112241 - 2⁶ = 101334112177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101334112291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380355 + ... + 2422551.

It is an arithmetic number, because the mean of its divisors is an integer number (6650742384).

Almost surely, 2^101334112241 is an apocalyptic number.

It is an amenable number.

101334112241 is a deficient number, since it is larger than the sum of its proper divisors (5077765903).

101334112241 is a wasteful number, since it uses less digits than its factorization.

101334112241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42880.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 101334112241 its reverse (142211433101), we get a palindrome (243545545342).

The spelling of 101334112241 in words is "one hundred one billion, three hundred thirty-four million, one hundred twelve thousand, two hundred forty-one".