100123233320 has 256 divisors, whose sum is σ = 274352209920. Its totient is φ = 32452300800.

The previous prime is 100123233319. The next prime is 100123233349. The reversal of 100123233320 is 23332321001.

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 = 100123233292 and 100123233301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10893767 + ... + 10902953.

It is an arithmetic number, because the mean of its divisors is an integer number (1071688320).

Almost surely, 2^100123233320 is an apocalyptic number.

100123233320 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 100123233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137176104960).

100123233320 is an abundant number, since it is smaller than the sum of its proper divisors (174228976600).

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

100123233320 is a wasteful number, since it uses less digits than its factorization.

100123233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100123233320 its reverse (23332321001), we get a palindrome (123455554321).

The spelling of 100123233320 in words is "one hundred billion, one hundred twenty-three million, two hundred thirty-three thousand, three hundred twenty".