101543871312 has 240 divisors, whose sum is σ = 316651066368. Its totient is φ = 30165903360.

The previous prime is 101543871271. The next prime is 101543871337. The reversal of 101543871312 is 213178345101.

101543871312 is a `hidden beast` number, since 1 + 0 + 1 + 543 + 87 + 1 + 31 + 2 = 666.

It is a super-2 number, since 2×101543871312² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28259788 + ... + 28263380.

Almost surely, 2^101543871312 is an apocalyptic number.

101543871312 is a gapful number since it is divisible by the number (12) 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 101543871312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158325533184).

101543871312 is an abundant number, since it is smaller than the sum of its proper divisors (215107195056).

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

101543871312 is a wasteful number, since it uses less digits than its factorization.

101543871312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 101543871312 in words is "one hundred one billion, five hundred forty-three million, eight hundred seventy-one thousand, three hundred twelve".