10128627960961 has 4 divisors (see below), whose sum is σ = 10128637147312. Its totient is φ = 10128618774612.

The previous prime is 10128627960959. The next prime is 10128627960989. The reversal of 10128627960961 is 16906972682101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10128627960961 - 2¹ = 10128627960959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10128627960896 and 10128627960905.

It is not an unprimeable number, because it can be changed into a prime (10128627960991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2671251 + ... + 5233816.

It is an arithmetic number, because the mean of its divisors is an integer number (2532159286828).

Almost surely, 2^{10128627960961} is an apocalyptic number.

It is an amenable number.

10128627960961 is a deficient number, since it is larger than the sum of its proper divisors (9186351).

10128627960961 is an equidigital number, since it uses as much as digits as its factorization.

10128627960961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186350.

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 10128627960961 in words is "ten trillion, one hundred twenty-eight billion, six hundred twenty-seven million, nine hundred sixty thousand, nine hundred sixty-one".