101289892946944 has 165 divisors, whose sum is σ = 219471617084541. Its totient is φ = 46724060897280.

The previous prime is 101289892946929. The next prime is 101289892946947. The reversal of 101289892946944 is 449649298982101.

The square root of 101289892946944 is 10064288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 54386023097344 + 46903869849600 = 7374688^2 + 6848640^2 .

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 54427668574 + ... + 54427670434.

Almost surely, 2^{101289892946944} is an apocalyptic number.

101289892946944 is the 10064288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101289892946944

101289892946944 is an abundant number, since it is smaller than the sum of its proper divisors (118181724137597).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101289892946944 is an frugal number, since it uses more digits than its factorization.

101289892946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 76.

The spelling of 101289892946944 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-four".