100223214000 has 640 divisors, whose sum is σ = 418659870720. Its totient is φ = 20030976000.

The previous prime is 100223213999. The next prime is 100223214011. The reversal of 100223214000 is 412322001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10369170 + ... + 10378830.

It is an arithmetic number, because the mean of its divisors is an integer number (654156048).

Almost surely, 2^100223214000 is an apocalyptic number.

100223214000 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 100223214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209329935360).

100223214000 is an abundant number, since it is smaller than the sum of its proper divisors (318436656720).

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

100223214000 is a wasteful number, since it uses less digits than its factorization.

100223214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100223214000 its reverse (412322001), we get a palindrome (100635536001).

The spelling of 100223214000 in words is "one hundred billion, two hundred twenty-three million, two hundred fourteen thousand".