100100223300 has 432 divisors, whose sum is σ = 372756142080. Its totient is φ = 20504736000.

The previous prime is 100100223239. The next prime is 100100223319. The reversal of 100100223300 is 3322001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11476341 + ... + 11485059.

It is an arithmetic number, because the mean of its divisors is an integer number (862861440).

Almost surely, 2^100100223300 is an apocalyptic number.

100100223300 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 100100223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186378071040).

100100223300 is an abundant number, since it is smaller than the sum of its proper divisors (272655918780).

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

100100223300 is a wasteful number, since it uses less digits than its factorization.

100100223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100100223300 its reverse (3322001001), we get a palindrome (103422224301).

The spelling of 100100223300 in words is "one hundred billion, one hundred million, two hundred twenty-three thousand, three hundred".