100011871140 has 96 divisors (see below), whose sum is σ = 284886927360. Its totient is φ = 26207918976.

The previous prime is 100011871139. The next prime is 100011871151. The reversal of 100011871140 is 41178110001.

100011871140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100011871140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17707797 + ... + 17713443.

It is an arithmetic number, because the mean of its divisors is an integer number (2967572160).

Almost surely, 2^100011871140 is an apocalyptic number.

100011871140 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 100011871140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142443463680).

100011871140 is an abundant number, since it is smaller than the sum of its proper divisors (184875056220).

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

100011871140 is a wasteful number, since it uses less digits than its factorization.

100011871140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 24.

Adding to 100011871140 its reverse (41178110001), we get a palindrome (141189981141).

The spelling of 100011871140 in words is "one hundred billion, eleven million, eight hundred seventy-one thousand, one hundred forty".