101143468320 has 96 divisors (see below), whose sum is σ = 319160761920. Its totient is φ = 26924282880.

The previous prime is 101143468297. The next prime is 101143468351. The reversal of 101143468320 is 23864341101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89566 + ... + 458594.

It is an arithmetic number, because the mean of its divisors is an integer number (3324591270).

Almost surely, 2^101143468320 is an apocalyptic number.

101143468320 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 101143468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159580380960).

101143468320 is an abundant number, since it is smaller than the sum of its proper divisors (218017293600).

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

101143468320 is a wasteful number, since it uses less digits than its factorization.

101143468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369618 (or 369610 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 101143468320 in words is "one hundred one billion, one hundred forty-three million, four hundred sixty-eight thousand, three hundred twenty".