101024000320 has 112 divisors (see below), whose sum is σ = 259120770048. Its totient is φ = 37405716480.

The previous prime is 101024000317. The next prime is 101024000321. The reversal of 101024000320 is 23000420101.

It is a self number, because there is not a number n which added to its sum of digits gives 101024000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024000321) 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, 6772 + ... + 449548.

It is an arithmetic number, because the mean of its divisors is an integer number (2313578304).

Almost surely, 2^101024000320 is an apocalyptic number.

101024000320 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 101024000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129560385024).

101024000320 is an abundant number, since it is smaller than the sum of its proper divisors (158096769728).

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

101024000320 is a wasteful number, since it uses less digits than its factorization.

101024000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442848 (or 442838 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 101024000320 its reverse (23000420101), we get a palindrome (124024420421).

The spelling of 101024000320 in words is "one hundred one billion, twenty-four million, three hundred twenty", and thus it is an aban number.