10132043301200 has 60 divisors (see below), whose sum is σ = 24342635466780. Its totient is φ = 4052750484480.

The previous prime is 10132043301187. The next prime is 10132043301223. The reversal of 10132043301200 is 210334023101.

It can be written as a sum of positive squares in 6 ways, for example, as 826688282176 + 9305355019024 = 909224^2 + 3050468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 29271542 + ... + 29615658.

It is an arithmetic number, because the mean of its divisors is an integer number (405710591113).

Almost surely, 2^{10132043301200} is an apocalyptic number.

10132043301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132043301200 is an abundant number, since it is smaller than the sum of its proper divisors (14210592165580).

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

10132043301200 is a wasteful number, since it uses less digits than its factorization.

10132043301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417744 (or 417733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10132043301200 its reverse (210334023101), we get a palindrome (10342377324301).

The spelling of 10132043301200 in words is "ten trillion, one hundred thirty-two billion, forty-three million, three hundred one thousand, two hundred".