101000320032 has 96 divisors (see below), whose sum is σ = 280816502400. Its totient is φ = 31675650048.

The previous prime is 101000320027. The next prime is 101000320033. The reversal of 101000320032 is 230023000101.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101000320033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5799594 + ... + 5816982.

It is an arithmetic number, because the mean of its divisors is an integer number (2925171900).

Almost surely, 2^101000320032 is an apocalyptic number.

101000320032 is a gapful number since it is divisible by the number (12) 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 101000320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140408251200).

101000320032 is an abundant number, since it is smaller than the sum of its proper divisors (179816182368).

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

101000320032 is a wasteful number, since it uses less digits than its factorization.

101000320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978 (or 20970 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 101000320032 its reverse (230023000101), we get a palindrome (331023320133).

The spelling of 101000320032 in words is "one hundred one billion, three hundred twenty thousand, thirty-two".