100334520000 has 840 divisors, whose sum is σ = 422417595600. Its totient is φ = 22440960000.

The previous prime is 100334519953. The next prime is 100334520007. The reversal of 100334520000 is 25433001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100334520007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51479026 + ... + 51480974.

It is an arithmetic number, because the mean of its divisors is an integer number (502878090).

Almost surely, 2^100334520000 is an apocalyptic number.

100334520000 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 100334520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211208797800).

100334520000 is an abundant number, since it is smaller than the sum of its proper divisors (322083075600).

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

100334520000 is a wasteful number, since it uses less digits than its factorization.

100334520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 100334520000 its reverse (25433001), we get a palindrome (100359953001).

The spelling of 100334520000 in words is "one hundred billion, three hundred thirty-four million, five hundred twenty thousand".