210101320 has 128 divisors (see below), whose sum is σ = 579882240. Its totient is φ = 67415040.

The previous prime is 210101299. The next prime is 210101323. The reversal of 210101320 is 23101012.

It is a super-3 number, since 3×210101320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210101297 and 210101306.

It is not an unprimeable number, because it can be changed into a prime (210101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130762 + ... + 132358.

It is an arithmetic number, because the mean of its divisors is an integer number (4530330).

Almost surely, 2^210101320 is an apocalyptic number.

210101320 is a gapful number since it is divisible by the number (20) 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 210101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289941120).

210101320 is an abundant number, since it is smaller than the sum of its proper divisors (369780920).

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

210101320 is a wasteful number, since it uses less digits than its factorization.

210101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 210101320 is about 14494.8721967460. The cubic root of 210101320 is about 594.4877732673.

Adding to 210101320 its reverse (23101012), we get a palindrome (233202332).

The spelling of 210101320 in words is "two hundred ten million, one hundred one thousand, three hundred twenty".