100300001003000 has 192 divisors, whose sum is σ = 253545927991200. Its totient is φ = 37119994060800.

The previous prime is 100300001002921. The next prime is 100300001003029. The reversal of 100300001003000 is 300100003001.

It is a super-3 number, since 3×100300001003000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14109824 + ... + 19992176.

Almost surely, 2^{100300001003000} is an apocalyptic number.

100300001003000 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 100300001003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126772963995600).

100300001003000 is an abundant number, since it is smaller than the sum of its proper divisors (153245926988200).

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

100300001003000 is a wasteful number, since it uses less digits than its factorization.

100300001003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882467 (or 5882436 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 100300001003000 its reverse (300100003001), we get a palindrome (100600101006001).

Subtracting from 100300001003000 its reverse (300100003001), we obtain a palindrome (99999900999999).

The spelling of 100300001003000 in words is "one hundred trillion, three hundred billion, one million, three thousand".