100330003320400 has 480 divisors, whose sum is σ = 292611776790528. Its totient is φ = 32272353484800.

The previous prime is 100330003320377. The next prime is 100330003320401. The reversal of 100330003320400 is 4023300033001.

It is a super-2 number, since 2×100330003320400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330003320401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39453401529 + ... + 39453404071.

Almost surely, 2^{100330003320400} is an apocalyptic number.

100330003320400 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 100330003320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146305888395264).

100330003320400 is an abundant number, since it is smaller than the sum of its proper divisors (192281773470128).

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

100330003320400 is a wasteful number, since it uses less digits than its factorization.

100330003320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 100330003320400 its reverse (4023300033001), we get a palindrome (104353303353401).

The spelling of 100330003320400 in words is "one hundred trillion, three hundred thirty billion, three million, three hundred twenty thousand, four hundred".