100330132012000 has 384 divisors, whose sum is σ = 275262340953600. Its totient is φ = 35623945728000.

The previous prime is 100330132011973. The next prime is 100330132012009. The reversal of 100330132012000 is 210231033001.

It is a super-2 number, since 2×100330132012000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330132012009) 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, 7982341716 + ... + 7982354284.

It is an arithmetic number, because the mean of its divisors is an integer number (716829012900).

Almost surely, 2^{100330132012000} is an apocalyptic number.

100330132012000 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 100330132012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137631170476800).

100330132012000 is an abundant number, since it is smaller than the sum of its proper divisors (174932208941600).

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

100330132012000 is a wasteful number, since it uses less digits than its factorization.

100330132012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16867 (or 16849 counting only the distinct ones).

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

Adding to 100330132012000 its reverse (210231033001), we get a palindrome (100540363045001).

The spelling of 100330132012000 in words is "one hundred trillion, three hundred thirty billion, one hundred thirty-two million, twelve thousand".