2130300310100 has 72 divisors (see below), whose sum is σ = 4657468678968. Its totient is φ = 845723289600.

The previous prime is 2130300310087. The next prime is 2130300310123. The reversal of 2130300310100 is 10130030312.

It can be written as a sum of positive squares in 12 ways, for example, as 2868030916 + 2127432279184 = 53554^2 + 1458572^2 .

It is a super-2 number, since 2×2130300310100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79734344 + ... + 79761056.

Almost surely, 2^{2130300310100} is an apocalyptic number.

2130300310100 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 2130300310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328734339484).

2130300310100 is an abundant number, since it is smaller than the sum of its proper divisors (2527168368868).

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

2130300310100 is a wasteful number, since it uses less digits than its factorization.

2130300310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32685 (or 32678 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2130300310100 its reverse (10130030312), we get a palindrome (2140430340412).

The spelling of 2130300310100 in words is "two trillion, one hundred thirty billion, three hundred million, three hundred ten thousand, one hundred".