101141585118 has 512 divisors, whose sum is σ = 290979840000. Its totient is φ = 25924872960.

The previous prime is 101141585101. The next prime is 101141585173. The reversal of 101141585118 is 811585141101.

101141585118 is a `hidden beast` number, since 10 + 11 + 41 + 585 + 1 + 18 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 796390371 + ... + 796390497.

It is an arithmetic number, because the mean of its divisors is an integer number (568320000).

Almost surely, 2^101141585118 is an apocalyptic number.

101141585118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101141585118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145489920000).

101141585118 is an abundant number, since it is smaller than the sum of its proper divisors (189838254882).

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

101141585118 is a wasteful number, since it uses less digits than its factorization.

101141585118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 36.

The spelling of 101141585118 in words is "one hundred one billion, one hundred forty-one million, five hundred eighty-five thousand, one hundred eighteen".