101001220320 has 384 divisors, whose sum is σ = 427173626880. Its totient is φ = 19372769280.

The previous prime is 101001220291. The next prime is 101001220337. The reversal of 101001220320 is 23022100101.

It is a super-2 number, since 2×101001220320² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101001220296 and 101001220305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375376 + ... + 585584.

It is an arithmetic number, because the mean of its divisors is an integer number (1112431320).

Almost surely, 2^101001220320 is an apocalyptic number.

101001220320 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 101001220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213586813440).

101001220320 is an abundant number, since it is smaller than the sum of its proper divisors (326172406560).

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

101001220320 is a wasteful number, since it uses less digits than its factorization.

101001220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210258 (or 210250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101001220320 its reverse (23022100101), we get a palindrome (124023320421).

The spelling of 101001220320 in words is "one hundred one billion, one million, two hundred twenty thousand, three hundred twenty".