2132530540100 has 18 divisors (see below), whose sum is σ = 4627591272234. Its totient is φ = 853012216000.

The previous prime is 2132530540093. The next prime is 2132530540183. The reversal of 2132530540100 is 10450352312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 623446051396 + 1509084488704 = 789586^2 + 1228448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2132530540100.

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 5 ways as a sum of consecutive naturals, for example, 10662652601 + ... + 10662652800.

It is an arithmetic number, because the mean of its divisors is an integer number (257088404013).

Almost surely, 2^{2132530540100} is an apocalyptic number.

2132530540100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132530540100 is an abundant number, since it is smaller than the sum of its proper divisors (2495060732134).

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

2132530540100 is a wasteful number, since it uses less digits than its factorization.

2132530540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21325305415 (or 21325305408 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 2132530540100 its reverse (10450352312), we get a palindrome (2142980892412).

The spelling of 2132530540100 in words is "two trillion, one hundred thirty-two billion, five hundred thirty million, five hundred forty thousand, one hundred".