100330111120 has 40 divisors (see below), whose sum is σ = 237091577400. Its totient is φ = 39474140160.

The previous prime is 100330111117. The next prime is 100330111159. The reversal of 100330111120 is 21111033001.

It can be written as a sum of positive squares in 4 ways, for example, as 21086464 + 100309024656 = 4592^2 + 316716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100330111120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100330111120.

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, 10274845 + ... + 10284604.

It is an arithmetic number, because the mean of its divisors is an integer number (5927289435).

Almost surely, 2^100330111120 is an apocalyptic number.

100330111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100330111120 is an abundant number, since it is smaller than the sum of its proper divisors (136761466280).

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

100330111120 is a wasteful number, since it uses less digits than its factorization.

100330111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20559523 (or 20559517 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100330111120 its reverse (21111033001), we get a palindrome (121441144121).

The spelling of 100330111120 in words is "one hundred billion, three hundred thirty million, one hundred eleven thousand, one hundred twenty".