100223211330 has 128 divisors (see below), whose sum is σ = 293305743360. Its totient is φ = 24150928320.

The previous prime is 100223211307. The next prime is 100223211331. The reversal of 100223211330 is 33112322001.

100223211330 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 321 + 1 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100223211331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394957 + ... + 597023.

It is an arithmetic number, because the mean of its divisors is an integer number (2291451120).

Almost surely, 2^100223211330 is an apocalyptic number.

100223211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100223211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146652871680).

100223211330 is an abundant number, since it is smaller than the sum of its proper divisors (193082532030).

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

100223211330 is a wasteful number, since it uses less digits than its factorization.

100223211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202261 (or 202255 counting only the distinct ones).

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

Adding to 100223211330 its reverse (33112322001), we get a palindrome (133335533331).

The spelling of 100223211330 in words is "one hundred billion, two hundred twenty-three million, two hundred eleven thousand, three hundred thirty".