2132320320100 has 72 divisors (see below), whose sum is σ = 4787133681960. Its totient is φ = 823440737280.

The previous prime is 2132320320083. The next prime is 2132320320121. The reversal of 2132320320100 is 10230232312.

It can be written as a sum of positive squares in 12 ways, for example, as 454176253476 + 1678144066624 = 673926^2 + 1295432^2 .

It is a super-2 number, since 2×2132320320100² (a number of 25 digits) contains 22 as substring.

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, 39160494 + ... + 39214906.

It is an arithmetic number, because the mean of its divisors is an integer number (66487967805).

Almost surely, 2^{2132320320100} is an apocalyptic number.

2132320320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132320320100 is an abundant number, since it is smaller than the sum of its proper divisors (2654813361860).

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

2132320320100 is a wasteful number, since it uses less digits than its factorization.

2132320320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67969 (or 67962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2132320320100 its reverse (10230232312), we get a palindrome (2142550552412).

The spelling of 2132320320100 in words is "two trillion, one hundred thirty-two billion, three hundred twenty million, three hundred twenty thousand, one hundred".