100330031100 has 144 divisors (see below), whose sum is σ = 315006088320. Its totient is φ = 24507974400.

The previous prime is 100330031071. The next prime is 100330031167. The reversal of 100330031100 is 1130033001.

It is a super-2 number, since 2×100330031100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 412711 + ... + 609089.

It is an arithmetic number, because the mean of its divisors is an integer number (2187542280).

Almost surely, 2^100330031100 is an apocalyptic number.

100330031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100330031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157503044160).

100330031100 is an abundant number, since it is smaller than the sum of its proper divisors (214676057220).

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

100330031100 is a wasteful number, since it uses less digits than its factorization.

100330031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196540 (or 196533 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100330031100 its reverse (1130033001), we get a palindrome (101460064101).

The spelling of 100330031100 in words is "one hundred billion, three hundred thirty million, thirty-one thousand, one hundred".