101432133200 has 60 divisors (see below), whose sum is σ = 243767440668. Its totient is φ = 40560076800.

The previous prime is 101432133197. The next prime is 101432133223. The reversal of 101432133200 is 2331234101.

It can be written as a sum of positive squares in 6 ways, for example, as 272514064 + 101159619136 = 16508^2 + 318056^2 .

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, 1286930 + ... + 1363470.

Almost surely, 2^101432133200 is an apocalyptic number.

101432133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101432133200 is an abundant number, since it is smaller than the sum of its proper divisors (142335307468).

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

101432133200 is a wasteful number, since it uses less digits than its factorization.

101432133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79872 (or 79861 counting only the distinct ones).

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

Adding to 101432133200 its reverse (2331234101), we get a palindrome (103763367301).

The spelling of 101432133200 in words is "one hundred one billion, four hundred thirty-two million, one hundred thirty-three thousand, two hundred".