128085252101 has 8 divisors (see below), whose sum is σ = 128165065560. Its totient is φ = 128005470208.

The previous prime is 128085252077. The next prime is 128085252131. The reversal of 128085252101 is 101252580821.

It is a happy number.

It is a Cunningham number, because it is equal to 357890²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 10419101476 + 117666150625 = 102074^2 + 343025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 128085252101 - 2⁶ = 128085252037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128085252131) 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 7 ways as a sum of consecutive naturals, for example, 18354725 + ... + 18361701.

It is an arithmetic number, because the mean of its divisors is an integer number (16020633195).

Almost surely, 2^128085252101 is an apocalyptic number.

It is an amenable number.

128085252101 is a deficient number, since it is larger than the sum of its proper divisors (79813459).

128085252101 is an equidigital number, since it uses as much as digits as its factorization.

128085252101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783.

The product of its (nonzero) digits is 12800, while the sum is 35.

The spelling of 128085252101 in words is "one hundred twenty-eight billion, eighty-five million, two hundred fifty-two thousand, one hundred one".