100330332001120 has 384 divisors, whose sum is σ = 276964923618432. Its totient is φ = 34004022067200.

The previous prime is 100330332001111. The next prime is 100330332001121. The reversal of 100330332001120 is 21100233033001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330332001121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5026307940 + ... + 5026327900.

It is an arithmetic number, because the mean of its divisors is an integer number (721262821923).

Almost surely, 2^{100330332001120} is an apocalyptic number.

100330332001120 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 100330332001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138482461809216).

100330332001120 is an abundant number, since it is smaller than the sum of its proper divisors (176634591617312).

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

100330332001120 is a wasteful number, since it uses less digits than its factorization.

100330332001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23514 (or 23506 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100330332001120 its reverse (21100233033001), we get a palindrome (121430565034121).

The spelling of 100330332001120 in words is "one hundred trillion, three hundred thirty billion, three hundred thirty-two million, one thousand, one hundred twenty".