220100012020320 has 48 divisors (see below), whose sum is σ = 693315037865520. Its totient is φ = 58693336538624.

The previous prime is 220100012020289. The next prime is 220100012020327. The reversal of 220100012020320 is 23020210001022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220100012020320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100012020327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229270845375 + ... + 229270846334.

It is an arithmetic number, because the mean of its divisors is an integer number (14444063288865).

Almost surely, 2^{220100012020320} is an apocalyptic number.

220100012020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100012020320 is an abundant number, since it is smaller than the sum of its proper divisors (473215025845200).

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

220100012020320 is a wasteful number, since it uses less digits than its factorization.

220100012020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458541691727 (or 458541691719 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220100012020320 its reverse (23020210001022), we get a palindrome (243120222021342).

The spelling of 220100012020320 in words is "two hundred twenty trillion, one hundred billion, twelve million, twenty thousand, three hundred twenty".