100223112330000 has 600 divisors, whose sum is σ = 383739258329856. Its totient is φ = 24208732800000.

The previous prime is 100223112329933. The next prime is 100223112330083. The reversal of 100223112330000 is 33211322001.

100223112330000 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 311 + 2 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×100223112330000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 274047265 + ... + 274412735.

Almost surely, 2^{100223112330000} is an apocalyptic number.

100223112330000 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 100223112330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191869629164928).

100223112330000 is an abundant number, since it is smaller than the sum of its proper divisors (283516145999856).

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

100223112330000 is a wasteful number, since it uses less digits than its factorization.

100223112330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365793 (or 365769 counting only the distinct ones).

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

Adding to 100223112330000 its reverse (33211322001), we get a palindrome (100256323652001).

The spelling of 100223112330000 in words is "one hundred trillion, two hundred twenty-three billion, one hundred twelve million, three hundred thirty thousand".