100330003312 has 240 divisors, whose sum is σ = 253308072960. Its totient is φ = 38054016000.

The previous prime is 100330003271. The next prime is 100330003327. The reversal of 100330003312 is 213300033001.

100330003312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100330003312² (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51423937 + ... + 51425887.

It is an arithmetic number, because the mean of its divisors is an integer number (1055450304).

Almost surely, 2^100330003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100330003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126654036480).

100330003312 is an abundant number, since it is smaller than the sum of its proper divisors (152978069648).

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

100330003312 is a wasteful number, since it uses less digits than its factorization.

100330003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100330003312 its reverse (213300033001), we get a palindrome (313630036313).

The spelling of 100330003312 in words is "one hundred billion, three hundred thirty million, three thousand, three hundred twelve".