101032323000 has 512 divisors, whose sum is σ = 371256238080. Its totient is φ = 22394880000.

The previous prime is 101032322947. The next prime is 101032323023. The reversal of 101032323000 is 323230101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233330784 + ... + 233331216.

It is an arithmetic number, because the mean of its divisors is an integer number (725109840).

Almost surely, 2^101032323000 is an apocalyptic number.

101032323000 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 101032323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185628119040).

101032323000 is an abundant number, since it is smaller than the sum of its proper divisors (270223915080).

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

101032323000 is a wasteful number, since it uses less digits than its factorization.

101032323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 101032323000 its reverse (323230101), we get a palindrome (101355553101).

The spelling of 101032323000 in words is "one hundred one billion, thirty-two million, three hundred twenty-three thousand".