100330010032 has 80 divisors (see below), whose sum is σ = 235804461120. Its totient is φ = 40369987584.

The previous prime is 100330009999. The next prime is 100330010087. The reversal of 100330010032 is 230010033001.

It is a super-2 number, since 2×100330010032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100330009994 and 100330010021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714318 + ... + 843154.

It is an arithmetic number, because the mean of its divisors is an integer number (2947555764).

Almost surely, 2^100330010032 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 100330010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117902230560).

100330010032 is an abundant number, since it is smaller than the sum of its proper divisors (135474451088).

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

100330010032 is a wasteful number, since it uses less digits than its factorization.

100330010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129278 (or 129272 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100330010032 its reverse (230010033001), we get a palindrome (330340043033).

The spelling of 100330010032 in words is "one hundred billion, three hundred thirty million, ten thousand, thirty-two".