100331300112000 has 1024 divisors, whose sum is σ = 346743061217280. Its totient is φ = 25635778560000.

The previous prime is 100331300111993. The next prime is 100331300112013. The reversal of 100331300112000 is 211003133001.

It is a super-2 number, since 2×100331300112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70014863284 + ... + 70014864716.

It is an arithmetic number, because the mean of its divisors is an integer number (338616270720).

Almost surely, 2^{100331300112000} is an apocalyptic number.

100331300112000 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 100331300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173371530608640).

100331300112000 is an abundant number, since it is smaller than the sum of its proper divisors (246411761105280).

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

100331300112000 is a wasteful number, since it uses less digits than its factorization.

100331300112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100331300112000 its reverse (211003133001), we get a palindrome (100542303245001).

The spelling of 100331300112000 in words is "one hundred trillion, three hundred thirty-one billion, three hundred million, one hundred twelve thousand".