101132432400 has 240 divisors, whose sum is σ = 341341049600. Its totient is φ = 25524564480.

The previous prime is 101132432351. The next prime is 101132432411. The reversal of 101132432400 is 4234231101.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 39830331 + ... + 39832869.

Almost surely, 2^101132432400 is an apocalyptic number.

101132432400 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 101132432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170670524800).

101132432400 is an abundant number, since it is smaller than the sum of its proper divisors (240208617200).

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

101132432400 is a wasteful number, since it uses less digits than its factorization.

101132432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101132432400 its reverse (4234231101), we get a palindrome (105366663501).

The spelling of 101132432400 in words is "one hundred one billion, one hundred thirty-two million, four hundred thirty-two thousand, four hundred".