101223303120 has 120 divisors (see below), whose sum is σ = 340179067176. Its totient is φ = 26974024704.

The previous prime is 101223303061. The next prime is 101223303131. The reversal of 101223303120 is 21303322101.

101223303120 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 330 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72505255824 + 28718047296 = 269268^2 + 169464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101223303093 and 101223303102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997782 + ... + 1094538.

Almost surely, 2^101223303120 is an apocalyptic number.

101223303120 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 101223303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089533588).

101223303120 is an abundant number, since it is smaller than the sum of its proper divisors (238955764056).

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

101223303120 is a wasteful number, since it uses less digits than its factorization.

101223303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98229 (or 98220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101223303120 its reverse (21303322101), we get a palindrome (122526625221).

The spelling of 101223303120 in words is "one hundred one billion, two hundred twenty-three million, three hundred three thousand, one hundred twenty".