101023332320 has 96 divisors (see below), whose sum is σ = 253005596928. Its totient is φ = 37987360768.

The previous prime is 101023332299. The next prime is 101023332323. The reversal of 101023332320 is 23233320101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101023332292 and 101023332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023332323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325842 + ... + 2368878.

It is an arithmetic number, because the mean of its divisors is an integer number (2635474968).

Almost surely, 2^101023332320 is an apocalyptic number.

101023332320 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 101023332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126502798464).

101023332320 is an abundant number, since it is smaller than the sum of its proper divisors (151982264608).

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

101023332320 is a wasteful number, since it uses less digits than its factorization.

101023332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43932 (or 43924 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 101023332320 its reverse (23233320101), we get a palindrome (124256652421).

The spelling of 101023332320 in words is "one hundred one billion, twenty-three million, three hundred thirty-two thousand, three hundred twenty".