100141711488 has 768 divisors, whose sum is σ = 379489743360. Its totient is φ = 24622202880.

The previous prime is 100141711469. The next prime is 100141711499. The reversal of 100141711488 is 884117141001.

100141711488 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 171 + 1 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98856070 + ... + 98857082.

It is an arithmetic number, because the mean of its divisors is an integer number (494127270).

Almost surely, 2^100141711488 is an apocalyptic number.

100141711488 is a gapful number since it is divisible by the number (18) 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 100141711488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189744871680).

100141711488 is an abundant number, since it is smaller than the sum of its proper divisors (279348031872).

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

100141711488 is a wasteful number, since it uses less digits than its factorization.

100141711488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

Adding to 100141711488 its reverse (884117141001), we get a palindrome (984258852489).

The spelling of 100141711488 in words is "one hundred billion, one hundred forty-one million, seven hundred eleven thousand, four hundred eighty-eight".