101329027072 has 480 divisors, whose sum is σ = 271572896000. Its totient is φ = 37456183296.

The previous prime is 101329027069. The next prime is 101329027103. The reversal of 101329027072 is 270720923101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388068828 + ... + 1388068900.

Almost surely, 2^101329027072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101329027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135786448000).

101329027072 is an abundant number, since it is smaller than the sum of its proper divisors (170243868928).

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

101329027072 is an frugal number, since it uses more digits than its factorization.

101329027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 101329027072 in words is "one hundred one billion, three hundred twenty-nine million, twenty-seven thousand, seventy-two".