2132000310100 has 72 divisors (see below), whose sum is σ = 4691963832248. Its totient is φ = 840732825600.

The previous prime is 2132000310071. The next prime is 2132000310119. The reversal of 2132000310100 is 10130002312.

It can be written as a sum of positive squares in 12 ways, for example, as 91205208004 + 2040795102096 = 302002^2 + 1428564^2 .

It is a congruent number.

It is an unprimeable number.

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, 16147552 + ... + 16279048.

Almost surely, 2^{2132000310100} is an apocalyptic number.

2132000310100 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 2132000310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345981916124).

2132000310100 is an abundant number, since it is smaller than the sum of its proper divisors (2559963522148).

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

2132000310100 is a wasteful number, since it uses less digits than its factorization.

2132000310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133805 (or 133798 counting only the distinct ones).

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

Adding to 2132000310100 its reverse (10130002312), we get a palindrome (2142130312412).

The spelling of 2132000310100 in words is "two trillion, one hundred thirty-two billion, three hundred ten thousand, one hundred".