10130030202100 has 72 divisors (see below), whose sum is σ = 22219805888280. Its totient is φ = 4008327966720.

The previous prime is 10130030202031. The next prime is 10130030202101. The reversal of 10130030202100 is 120203003101.

It can be written as a sum of positive squares in 12 ways, for example, as 6975705016336 + 3154325185764 = 2641156^2 + 1776042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130030202101) 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, 5972172 + ... + 7478428.

It is an arithmetic number, because the mean of its divisors is an integer number (308608415115).

Almost surely, 2^{10130030202100} is an apocalyptic number.

10130030202100 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 10130030202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109902944140).

10130030202100 is an abundant number, since it is smaller than the sum of its proper divisors (12089775686180).

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

10130030202100 is a wasteful number, since it uses less digits than its factorization.

10130030202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506997 (or 1506990 counting only the distinct ones).

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

Adding to 10130030202100 its reverse (120203003101), we get a palindrome (10250233205201).

The spelling of 10130030202100 in words is "ten trillion, one hundred thirty billion, thirty million, two hundred two thousand, one hundred".