101531155552000 has 288 divisors, whose sum is σ = 260671243472640. Its totient is φ = 39382530969600.

The previous prime is 101531155551997. The next prime is 101531155552009. The reversal of 101531155552000 is 255551135101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101531155552009) 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, 190998579 + ... + 191529421.

It is an arithmetic number, because the mean of its divisors is an integer number (905108484280).

Almost surely, 2^{101531155552000} is an apocalyptic number.

101531155552000 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 101531155552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130335621736320).

101531155552000 is an abundant number, since it is smaller than the sum of its proper divisors (159140087920640).

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

101531155552000 is an equidigital number, since it uses as much as digits as its factorization.

101531155552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531056 (or 531032 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 101531155552000 in words is "one hundred one trillion, five hundred thirty-one billion, one hundred fifty-five million, five hundred fifty-two thousand".