101321728595280 has 160 divisors (see below), whose sum is σ = 349000438435200. Its totient is φ = 27018866469888.

The previous prime is 101321728595267. The next prime is 101321728595281. The reversal of 101321728595280 is 82595827123101.

101321728595280 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 7 + 28 + 595 + 28 + 0 = 666.

101321728595280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321728595281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344885091 + ... + 345178749.

It is an arithmetic number, because the mean of its divisors is an integer number (2181252740220).

Almost surely, 2^{101321728595280} is an apocalyptic number.

101321728595280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101321728595280 is an abundant number, since it is smaller than the sum of its proper divisors (247678709839920).

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

101321728595280 is a wasteful number, since it uses less digits than its factorization.

101321728595280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453418 (or 453406 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 101321728595280 in words is "one hundred one trillion, three hundred twenty-one billion, seven hundred twenty-eight million, five hundred ninety-five thousand, two hundred eighty".