220100272128 has 336 divisors, whose sum is σ = 697289838336. Its totient is φ = 66343403520.

The previous prime is 220100272109. The next prime is 220100272129. The reversal of 220100272128 is 821272001022.

220100272128 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 (220100272129) 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, 180854176 + ... + 180855392.

It is an arithmetic number, because the mean of its divisors is an integer number (2075267376).

Almost surely, 2^220100272128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220100272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348644919168).

220100272128 is an abundant number, since it is smaller than the sum of its proper divisors (477189566208).

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

220100272128 is a wasteful number, since it uses less digits than its factorization.

220100272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 220100272128 in words is "two hundred twenty billion, one hundred million, two hundred seventy-two thousand, one hundred twenty-eight".