100223321100 has 432 divisors, whose sum is σ = 353690862336. Its totient is φ = 21806400000.

The previous prime is 100223321083. The next prime is 100223321101. The reversal of 100223321100 is 1123322001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100223321100.

It is not an unprimeable number, because it can be changed into a prime (100223321101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84862510 + ... + 84863690.

It is an arithmetic number, because the mean of its divisors is an integer number (818728848).

Almost surely, 2^100223321100 is an apocalyptic number.

100223321100 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 100223321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176845431168).

100223321100 is an abundant number, since it is smaller than the sum of its proper divisors (253467541236).

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

100223321100 is a wasteful number, since it uses less digits than its factorization.

100223321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100223321100 its reverse (1123322001), we get a palindrome (101346643101).

Subtracting from 100223321100 its reverse (1123322001), we obtain a palindrome (99099999099).

The spelling of 100223321100 in words is "one hundred billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred".