100031134120 has 64 divisors (see below), whose sum is σ = 238588286400. Its totient is φ = 37614720000.

The previous prime is 100031134097. The next prime is 100031134153. The reversal of 100031134120 is 21431130001.

It is a junction number, because it is equal to n+sod(n) for n = 100031134094 and 100031134103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498495 + ... + 669745.

It is an arithmetic number, because the mean of its divisors is an integer number (3727941975).

Almost surely, 2^100031134120 is an apocalyptic number.

100031134120 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 100031134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119294143200).

100031134120 is an abundant number, since it is smaller than the sum of its proper divisors (138557152280).

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

100031134120 is a wasteful number, since it uses less digits than its factorization.

100031134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172138 (or 172134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100031134120 its reverse (21431130001), we get a palindrome (121462264121).

The spelling of 100031134120 in words is "one hundred billion, thirty-one million, one hundred thirty-four thousand, one hundred twenty".