100322123220 has 288 divisors, whose sum is σ = 340410470400. Its totient is φ = 23706766080.

The previous prime is 100322123203. The next prime is 100322123233. The reversal of 100322123220 is 22321223001.

100322123220 is a `hidden beast` number, since 1 + 0 + 0 + 322 + 123 + 220 = 666.

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 = 100322123193 and 100322123202.

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, 24472731 + ... + 24476829.

It is an arithmetic number, because the mean of its divisors is an integer number (1181980800).

Almost surely, 2^100322123220 is an apocalyptic number.

100322123220 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 100322123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170205235200).

100322123220 is an abundant number, since it is smaller than the sum of its proper divisors (240088347180).

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

100322123220 is a wasteful number, since it uses less digits than its factorization.

100322123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100322123220 its reverse (22321223001), we get a palindrome (122643346221).

The spelling of 100322123220 in words is "one hundred billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty".