220032120310100 has 108 divisors (see below), whose sum is σ = 555601032562716. Its totient is φ = 75415530516480.

The previous prime is 220032120310099. The next prime is 220032120310129. The reversal of 220032120310100 is 1013021230022.

It can be written as a sum of positive squares in 6 ways, for example, as 47793689236804 + 172238431073296 = 6913298^2 + 13123964^2 .

It is a super-3 number, since 3×220032120310100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8214062 + ... + 22528538.

Almost surely, 2^{220032120310100} is an apocalyptic number.

220032120310100 is a gapful number since it is divisible by the number (20) 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 220032120310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277800516281358).

220032120310100 is an abundant number, since it is smaller than the sum of its proper divisors (335568912252616).

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

220032120310100 is a wasteful number, since it uses less digits than its factorization.

220032120310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317642 (or 14317628 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 220032120310100 its reverse (1013021230022), we get a palindrome (221045141540122).

The spelling of 220032120310100 in words is "two hundred twenty trillion, thirty-two billion, one hundred twenty million, three hundred ten thousand, one hundred".