100330825139712 has 320 divisors, whose sum is σ = 299538419980800. Its totient is φ = 33156873953280.

The previous prime is 100330825139689. The next prime is 100330825139737. The reversal of 100330825139712 is 217931528033001.

100330825139712 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 0 + 8 + 251 + 397 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396920762 + ... + 1396992582.

It is an arithmetic number, because the mean of its divisors is an integer number (936057562440).

Almost surely, 2^{100330825139712} is an apocalyptic number.

100330825139712 is a gapful number since it is divisible by the number (12) 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 100330825139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149769209990400).

100330825139712 is an abundant number, since it is smaller than the sum of its proper divisors (199207594841088).

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

100330825139712 is an equidigital number, since it uses as much as digits as its factorization.

100330825139712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72714 (or 72692 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 100330825139712 in words is "one hundred trillion, three hundred thirty billion, eight hundred twenty-five million, one hundred thirty-nine thousand, seven hundred twelve".