100330002112 has 56 divisors (see below), whose sum is σ = 203551072704. Its totient is φ = 49043884032.

The previous prime is 100330002083. The next prime is 100330002121. The reversal of 100330002112 is 211200033001.

It is a super-2 number, since 2×100330002112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100330002092 and 100330002101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2800698 + ... + 2836294.

It is an arithmetic number, because the mean of its divisors is an integer number (3634840584).

Almost surely, 2^100330002112 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 100330002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101775536352).

100330002112 is an abundant number, since it is smaller than the sum of its proper divisors (103221070592).

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

100330002112 is an equidigital number, since it uses as much as digits as its factorization.

100330002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36593 (or 36583 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100330002112 its reverse (211200033001), we get a palindrome (311530035113).

The spelling of 100330002112 in words is "one hundred billion, three hundred thirty million, two thousand, one hundred twelve".