101032320000 has 440 divisors, whose sum is σ = 340486222032. Its totient is φ = 26624000000.

The previous prime is 101032319989. The next prime is 101032320029. The reversal of 101032320000 is 23230101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193919740 + ... + 193920260.

Almost surely, 2^101032320000 is an apocalyptic number.

101032320000 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 101032320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170243111016).

101032320000 is an abundant number, since it is smaller than the sum of its proper divisors (239453902032).

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

101032320000 is an equidigital number, since it uses as much as digits as its factorization.

101032320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 632 counting only the distinct ones).

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

Adding to 101032320000 its reverse (23230101), we get a palindrome (101055550101).

The spelling of 101032320000 in words is "one hundred one billion, thirty-two million, three hundred twenty thousand".