10121164448256 has 160 divisors (see below), whose sum is σ = 30769063332480. Its totient is φ = 3282539655168.

The previous prime is 10121164448141. The next prime is 10121164448267. The reversal of 10121164448256 is 65284446112101.

10121164448256 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 164 + 4 + 482 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9382356 + ... + 10405331.

It is an arithmetic number, because the mean of its divisors is an integer number (192306645828).

Almost surely, 2^{10121164448256} is an apocalyptic number.

10121164448256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10121164448256 is an abundant number, since it is smaller than the sum of its proper divisors (20647898884224).

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

10121164448256 is an equidigital number, since it uses as much as digits as its factorization.

10121164448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787751 (or 19787729 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10121164448256 in words is "ten trillion, one hundred twenty-one billion, one hundred sixty-four million, four hundred forty-eight thousand, two hundred fifty-six".