220102101648 has 120 divisors (see below), whose sum is σ = 723669098880. Its totient is φ = 61567015680.

The previous prime is 220102101643. The next prime is 220102101677. The reversal of 220102101648 is 846101201022.

220102101648 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 2 + 10 + 1 + 648 = 666.

220102101648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220102101643) 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 23 ways as a sum of consecutive naturals, for example, 5323768 + ... + 5364951.

It is an arithmetic number, because the mean of its divisors is an integer number (6030575824).

Almost surely, 2^220102101648 is an apocalyptic number.

It is an amenable number.

220102101648 is an abundant number, since it is smaller than the sum of its proper divisors (503566997232).

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

220102101648 is a wasteful number, since it uses less digits than its factorization.

220102101648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688757 (or 10688748 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 220102101648 in words is "two hundred twenty billion, one hundred two million, one hundred one thousand, six hundred forty-eight".