101300222320 has 120 divisors (see below), whose sum is σ = 259051388400. Its totient is φ = 36812160000.

The previous prime is 101300222281. The next prime is 101300222321. The reversal of 101300222320 is 23222003101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101300222294 and 101300222303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300222321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21787356 + ... + 21792004.

It is an arithmetic number, because the mean of its divisors is an integer number (2158761570).

Almost surely, 2^101300222320 is an apocalyptic number.

101300222320 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 101300222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129525694200).

101300222320 is an abundant number, since it is smaller than the sum of its proper divisors (157751166080).

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

101300222320 is a wasteful number, since it uses less digits than its factorization.

101300222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101300222320 its reverse (23222003101), we get a palindrome (124522225421).

The spelling of 101300222320 in words is "one hundred one billion, three hundred million, two hundred twenty-two thousand, three hundred twenty".