100100511488 has 72 divisors (see below), whose sum is σ = 204438427200. Its totient is φ = 48898863104.

The previous prime is 100100511481. The next prime is 100100511491. The reversal of 100100511488 is 884115001001.

It is a super-2 number, since 2×100100511488² (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 100100511488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100511481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3227318 + ... + 3258186.

It is an arithmetic number, because the mean of its divisors is an integer number (2839422600).

Almost surely, 2^100100511488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102219213600).

100100511488 is an abundant number, since it is smaller than the sum of its proper divisors (104337915712).

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

100100511488 is an equidigital number, since it uses as much as digits as its factorization.

100100511488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31177 (or 31163 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 29.

Adding to 100100511488 its reverse (884115001001), we get a palindrome (984215512489).

The spelling of 100100511488 in words is "one hundred billion, one hundred million, five hundred eleven thousand, four hundred eighty-eight".