100300123000 has 256 divisors, whose sum is σ = 299430743040. Its totient is φ = 30534336000.

The previous prime is 100300122997. The next prime is 100300123073. The reversal of 100300123000 is 321003001.

It is a super-2 number, since 2×100300123000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3295854 + ... + 3326146.

It is an arithmetic number, because the mean of its divisors is an integer number (1169651340).

Almost surely, 2^100300123000 is an apocalyptic number.

100300123000 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 100300123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149715371520).

100300123000 is an abundant number, since it is smaller than the sum of its proper divisors (199130620040).

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

100300123000 is a wasteful number, since it uses less digits than its factorization.

100300123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30375 (or 30361 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100300123000 its reverse (321003001), we get a palindrome (100621126001).

The spelling of 100300123000 in words is "one hundred billion, three hundred million, one hundred twenty-three thousand".