100232232012220 has 288 divisors, whose sum is σ = 270495811555200. Its totient is φ = 30530521866240.

The previous prime is 100232232012193. The next prime is 100232232012259. The reversal of 100232232012220 is 22210232232001.

100232232012220 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 100232232012191 and 100232232012200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134419776 + ... + 135163384.

It is an arithmetic number, because the mean of its divisors is an integer number (939221567900).

Almost surely, 2^{100232232012220} is an apocalyptic number.

100232232012220 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 100232232012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135247905777600).

100232232012220 is an abundant number, since it is smaller than the sum of its proper divisors (170263579542980).

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

100232232012220 is a wasteful number, since it uses less digits than its factorization.

100232232012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743829 (or 743816 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100232232012220 its reverse (22210232232001), we get a palindrome (122442464244221).

The spelling of 100232232012220 in words is "one hundred trillion, two hundred thirty-two billion, two hundred thirty-two million, twelve thousand, two hundred twenty".