101289892946943 has 16 divisors (see below), whose sum is σ = 142998234762240. Its totient is φ = 63554114261376.

The previous prime is 101289892946929. The next prime is 101289892946947. The reversal of 101289892946943 is 349649298982101.

It is a Cunningham number, because it is equal to 10064288²-1.

It is not a de Polignac number, because 101289892946943 - 2²⁰ = 101289891898367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101289892946947) 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, 5032146 + ... + 15096432.

It is an arithmetic number, because the mean of its divisors is an integer number (8937389672640).

Almost surely, 2^{101289892946943} is an apocalyptic number.

101289892946943 is a deficient number, since it is larger than the sum of its proper divisors (41708341815297).

101289892946943 is a wasteful number, since it uses less digits than its factorization.

101289892946943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261646.

The product of its (nonzero) digits is 483729408, while the sum is 75.

The spelling of 101289892946943 in words is "one hundred one trillion, two hundred eighty-nine billion, eight hundred ninety-two million, nine hundred forty-six thousand, nine hundred forty-three".