100111131120 has 960 divisors, whose sum is σ = 430094472192. Its totient is φ = 18734284800.

The previous prime is 100111131091. The next prime is 100111131193. The reversal of 100111131120 is 21131111001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111131096 and 100111131105.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 113633080 + ... + 113633960.

Almost surely, 2^100111131120 is an apocalyptic number.

100111131120 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 100111131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215047236096).

100111131120 is an abundant number, since it is smaller than the sum of its proper divisors (329983341072).

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

100111131120 is a wasteful number, since it uses less digits than its factorization.

100111131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111131120 its reverse (21131111001), we get a palindrome (121242242121).

It can be divided in two parts, 1001 and 11131120, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 100111131120 in words is "one hundred billion, one hundred eleven million, one hundred thirty-one thousand, one hundred twenty".