100331101200000 has 768 divisors, whose sum is σ = 365714104049280. Its totient is φ = 24167270400000.

The previous prime is 100331101199941. The next prime is 100331101200017. The reversal of 100331101200000 is 2101133001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2072375794 + ... + 2072424206.

Almost surely, 2^{100331101200000} is an apocalyptic number.

100331101200000 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 100331101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182857052024640).

100331101200000 is an abundant number, since it is smaller than the sum of its proper divisors (265383002849280).

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

100331101200000 is an equidigital number, since it uses as much as digits as its factorization.

100331101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48623 (or 48591 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100331101200000 its reverse (2101133001), we get a palindrome (100333202333001).

The spelling of 100331101200000 in words is "one hundred trillion, three hundred thirty-one billion, one hundred one million, two hundred thousand".