10132101200 has 120 divisors (see below), whose sum is σ = 27119227800. Its totient is φ = 3612026880.

The previous prime is 10132101193. The next prime is 10132101227. The reversal of 10132101200 is 210123101.

10132101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1696780864 + 8435320336 = 41192^2 + 91844^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117206 + ... + 184394.

It is an arithmetic number, because the mean of its divisors is an integer number (225993565).

Almost surely, 2^10132101200 is an apocalyptic number.

10132101200 is a gapful number since it is divisible by the number (10) 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 10132101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559613900).

10132101200 is an abundant number, since it is smaller than the sum of its proper divisors (16987126600).

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

10132101200 is a wasteful number, since it uses less digits than its factorization.

10132101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67249 (or 67238 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10132101200 its reverse (210123101), we get a palindrome (10342224301).

The spelling of 10132101200 in words is "ten billion, one hundred thirty-two million, one hundred one thousand, two hundred".