9388102128001 has 9 divisors (see below), whose sum is σ = 9407755790409. Its totient is φ = 9368489457600.

The previous prime is 9388102127983. The next prime is 9388102128049. The reversal of 9388102128001 is 1008212018839.

It is a happy number.

The square root of 9388102128001 is 3064001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 195320686401 + 9192781441600 = 441951^2 + 3031960^2 .

It is not a de Polignac number, because 9388102128001 - 2²⁷ = 9387967910273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9388102128901) 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 8 ways as a sum of consecutive naturals, for example, 1596341581 + ... + 1596347461.

Almost surely, 2^{9388102128001} is an apocalyptic number.

9388102128001 is the 3064001-st square number.

9388102128001 is the 1532001-st centered octagonal number.

It is an amenable number.

9388102128001 is a deficient number, since it is larger than the sum of its proper divisors (19653662408).

9388102128001 is an frugal number, since it uses more digits than its factorization.

9388102128001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12804 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 9388102128001 in words is "nine trillion, three hundred eighty-eight billion, one hundred two million, one hundred twenty-eight thousand, one".