100220301233120 has 768 divisors, whose sum is σ = 271252538726400. Its totient is φ = 34866718064640.

The previous prime is 100220301233083. The next prime is 100220301233123. The reversal of 100220301233120 is 21332103022001.

100220301233120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100220301233092 and 100220301233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220301233123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97018684124 + ... + 97018685156.

It is an arithmetic number, because the mean of its divisors is an integer number (353193409800).

Almost surely, 2^{100220301233120} is an apocalyptic number.

100220301233120 is a gapful number since it is divisible by the number (10) 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 100220301233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626269363200).

100220301233120 is an abundant number, since it is smaller than the sum of its proper divisors (171032237493280).

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

100220301233120 is a wasteful number, since it uses less digits than its factorization.

100220301233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100220301233120 its reverse (21332103022001), we get a palindrome (121552404255121).

The spelling of 100220301233120 in words is "one hundred trillion, two hundred twenty billion, three hundred one million, two hundred thirty-three thousand, one hundred twenty".