100002003331120 has 40 divisors (see below), whose sum is σ = 253641444814800. Its totient is φ = 36364364847360.

The previous prime is 100002003331103. The next prime is 100002003331121. The reversal of 100002003331120 is 21133300200001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100002003331094 and 100002003331103.

It is not an unprimeable number, because it can be changed into a prime (100002003331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56819319195 + ... + 56819320954.

It is an arithmetic number, because the mean of its divisors is an integer number (6341036120370).

Almost surely, 2^{100002003331120} is an apocalyptic number.

100002003331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002003331120 is an abundant number, since it is smaller than the sum of its proper divisors (153639441483680).

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

100002003331120 is a wasteful number, since it uses less digits than its factorization.

100002003331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113638640173 (or 113638640167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100002003331120 its reverse (21133300200001), we get a palindrome (121135303531121).

The spelling of 100002003331120 in words is "one hundred trillion, two billion, three million, three hundred thirty-one thousand, one hundred twenty".