101729293120 has 336 divisors, whose sum is σ = 302809777920. Its totient is φ = 31870844928.

The previous prime is 101729293097. The next prime is 101729293129. The reversal of 101729293120 is 21392927101.

It is a self number, because there is not a number n which added to its sum of digits gives 101729293120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101729293129) 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 47 ways as a sum of consecutive naturals, for example, 38990376 + ... + 38992984.

Almost surely, 2^101729293120 is an apocalyptic number.

101729293120 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 101729293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151404888960).

101729293120 is an abundant number, since it is smaller than the sum of its proper divisors (201080484800).

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

101729293120 is a wasteful number, since it uses less digits than its factorization.

101729293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 101729293120 in words is "one hundred one billion, seven hundred twenty-nine million, two hundred ninety-three thousand, one hundred twenty".