220033021101024 has 96 divisors (see below), whose sum is σ = 580304049776640. Its totient is φ = 72999421926912.

The previous prime is 220033021100999. The next prime is 220033021101031. The reversal of 220033021101024 is 420101120330022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 96645082 + ... + 98895590.

It is an arithmetic number, because the mean of its divisors is an integer number (6044833851840).

Almost surely, 2^{220033021101024} is an apocalyptic number.

220033021101024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220033021101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290152024888320).

220033021101024 is an abundant number, since it is smaller than the sum of its proper divisors (360271028675616).

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

220033021101024 is a wasteful number, since it uses less digits than its factorization.

220033021101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255312 (or 2255304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220033021101024 its reverse (420101120330022), we get a palindrome (640134141431046).

The spelling of 220033021101024 in words is "two hundred twenty trillion, thirty-three billion, twenty-one million, one hundred one thousand, twenty-four".