100010223000 has 192 divisors, whose sum is σ = 347171778720. Its totient is φ = 25948512000.

The previous prime is 100010222999. The next prime is 100010223007. The reversal of 100010223000 is 322010001.

It is a happy number.

It is a super-4 number, since 4×100010223000⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010223007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182835 + ... + 483165.

Almost surely, 2^100010223000 is an apocalyptic number.

100010223000 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 100010223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173585889360).

100010223000 is an abundant number, since it is smaller than the sum of its proper divisors (247161555720).

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

100010223000 is a wasteful number, since it uses less digits than its factorization.

100010223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300395 (or 300378 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100010223000 its reverse (322010001), we get a palindrome (100332233001).

The spelling of 100010223000 in words is "one hundred billion, ten million, two hundred twenty-three thousand".