101712438667840 has 4032 divisors, whose sum is σ = 378335102681088. Its totient is φ = 25114646937600.

The previous prime is 101712438667837. The next prime is 101712438667849. The reversal of 101712438667840 is 48766834217101.

It is a super-2 number, since 2×101712438667840² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101712438667849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1518096099487 + ... + 1518096099553.

It is an arithmetic number, because the mean of its divisors is an integer number (93833110784).

Almost surely, 2^{101712438667840} is an apocalyptic number.

101712438667840 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 101712438667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189167551340544).

101712438667840 is an abundant number, since it is smaller than the sum of its proper divisors (276622664013248).

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

101712438667840 is a wasteful number, since it uses less digits than its factorization.

101712438667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 101712438667840 in words is "one hundred one trillion, seven hundred twelve billion, four hundred thirty-eight million, six hundred sixty-seven thousand, eight hundred forty".