128768564287101 has 16 divisors (see below), whose sum is σ = 184092065107200. Its totient is φ = 79773228208128.

The previous prime is 128768564287087. The next prime is 128768564287109. The reversal of 128768564287101 is 101782465867821.

It is not a de Polignac number, because 128768564287101 - 2⁹ = 128768564286589 is a prime.

It is a super-2 number, since 2×128768564287101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128768564287109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15980209956 + ... + 15980218013.

It is an arithmetic number, because the mean of its divisors is an integer number (11505754069200).

Almost surely, 2^{128768564287101} is an apocalyptic number.

It is an amenable number.

128768564287101 is a deficient number, since it is larger than the sum of its proper divisors (55323500820099).

128768564287101 is a wasteful number, since it uses less digits than its factorization.

128768564287101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31960428068.

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 128768564287101 in words is "one hundred twenty-eight trillion, seven hundred sixty-eight billion, five hundred sixty-four million, two hundred eighty-seven thousand, one hundred one".