101073689271360 has 672 divisors, whose sum is σ = 381401991210240. Its totient is φ = 24415827148800.

The previous prime is 101073689271349. The next prime is 101073689271481. The reversal of 101073689271360 is 63172986370101.

101073689271360 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 7 + 3 + 6 + 8 + 9 + 271 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101073689271297 and 101073689271306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002555355 + ... + 1002656165.

It is an arithmetic number, because the mean of its divisors is an integer number (567562486920).

Almost surely, 2^{101073689271360} is an apocalyptic number.

101073689271360 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 101073689271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190700995605120).

101073689271360 is an abundant number, since it is smaller than the sum of its proper divisors (280328301938880).

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

101073689271360 is a wasteful number, since it uses less digits than its factorization.

101073689271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101347 (or 101334 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 101073689271360 in words is "one hundred one trillion, seventy-three billion, six hundred eighty-nine million, two hundred seventy-one thousand, three hundred sixty".