101000333320 has 64 divisors (see below), whose sum is σ = 238115687040. Its totient is φ = 38483174400.

The previous prime is 101000333293. The next prime is 101000333353. The reversal of 101000333320 is 23333000101.

It is a super-2 number, since 2×101000333320² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000333294 and 101000333303.

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 15 ways as a sum of consecutive naturals, for example, 6046 + ... + 449485.

It is an arithmetic number, because the mean of its divisors is an integer number (3720557610).

Almost surely, 2^101000333320 is an apocalyptic number.

101000333320 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 101000333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119057843520).

101000333320 is an abundant number, since it is smaller than the sum of its proper divisors (137115353720).

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

101000333320 is a wasteful number, since it uses less digits than its factorization.

101000333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455806 (or 455802 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 101000333320 its reverse (23333000101), we get a palindrome (124333333421).

The spelling of 101000333320 in words is "one hundred one billion, three hundred thirty-three thousand, three hundred twenty".