100330100100 has 108 divisors (see below), whose sum is σ = 314578240704. Its totient is φ = 26746261440.

The previous prime is 100330100041. The next prime is 100330100119. The reversal of 100330100100 is 1001033001.

It is a super-2 number, since 2×100330100100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3158497 + ... + 3190103.

It is an arithmetic number, because the mean of its divisors is an integer number (2912761488).

Almost surely, 2^100330100100 is an apocalyptic number.

100330100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100330100100 is an abundant number, since it is smaller than the sum of its proper divisors (214248140604).

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

100330100100 is a wasteful number, since it uses less digits than its factorization.

100330100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35154 (or 35144 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100330100100 its reverse (1001033001), we get a palindrome (101331133101).

The spelling of 100330100100 in words is "one hundred billion, three hundred thirty million, one hundred thousand, one hundred".