101432305216000 has 320 divisors, whose sum is σ = 275997824758656. Its totient is φ = 36874235904000.

The previous prime is 101432305215949. The next prime is 101432305216027. The reversal of 101432305216000 is 612503234101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 101432305216000.

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, 2818094004 + ... + 2818129996.

Almost surely, 2^{101432305216000} is an apocalyptic number.

101432305216000 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 101432305216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137998912379328).

101432305216000 is an abundant number, since it is smaller than the sum of its proper divisors (174565519542656).

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

101432305216000 is an equidigital number, since it uses as much as digits as its factorization.

101432305216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40040 (or 40014 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 101432305216000 in words is "one hundred one trillion, four hundred thirty-two billion, three hundred five million, two hundred sixteen thousand".