101232032000 has 288 divisors, whose sum is σ = 277220361600. Its totient is φ = 36529152000.

The previous prime is 101232031981. The next prime is 101232032009. The reversal of 101232032000 is 230232101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101232032009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48926966 + ... + 48929034.

It is an arithmetic number, because the mean of its divisors is an integer number (962570700).

Almost surely, 2^101232032000 is an apocalyptic number.

101232032000 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 101232032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138610180800).

101232032000 is an abundant number, since it is smaller than the sum of its proper divisors (175988329600).

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

101232032000 is a wasteful number, since it uses less digits than its factorization.

101232032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101232032000 its reverse (230232101), we get a palindrome (101462264101).

The spelling of 101232032000 in words is "one hundred one billion, two hundred thirty-two million, thirty-two thousand".