10201020330100 has 72 divisors (see below), whose sum is σ = 22556876267520. Its totient is φ = 4002887191680.

The previous prime is 10201020330073. The next prime is 10201020330103. The reversal of 10201020330100 is 103302010201.

It is a super-2 number, since 2×10201020330100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201020330103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40998669 + ... + 41246731.

It is an arithmetic number, because the mean of its divisors is an integer number (313289948160).

Almost surely, 2^{10201020330100} is an apocalyptic number.

10201020330100 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 10201020330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278438133760).

10201020330100 is an abundant number, since it is smaller than the sum of its proper divisors (12355855937420).

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

10201020330100 is a wasteful number, since it uses less digits than its factorization.

10201020330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255889 (or 255882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10201020330100 its reverse (103302010201), we get a palindrome (10304322340301).

The spelling of 10201020330100 in words is "ten trillion, two hundred one billion, twenty million, three hundred thirty thousand, one hundred".