101132103200 has 72 divisors (see below), whose sum is σ = 247596848100. Its totient is φ = 40336819200.

The previous prime is 101132103173. The next prime is 101132103217. The reversal of 101132103200 is 2301231101.

It can be written as a sum of positive squares in 6 ways, for example, as 25588481296 + 75543621904 = 159964^2 + 274852^2 .

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, 98090 + ... + 460310.

Almost surely, 2^101132103200 is an apocalyptic number.

101132103200 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 101132103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123798424050).

101132103200 is an abundant number, since it is smaller than the sum of its proper divisors (146464744900).

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

101132103200 is a wasteful number, since it uses less digits than its factorization.

101132103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362590 (or 362577 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101132103200 its reverse (2301231101), we get a palindrome (103433334301).

The spelling of 101132103200 in words is "one hundred one billion, one hundred thirty-two million, one hundred three thousand, two hundred".