101132043432000 has 896 divisors, whose sum is σ = 404392324177920. Its totient is φ = 21754137600000.

The previous prime is 101132043431999. The next prime is 101132043432001. The reversal of 101132043432000 is 234340231101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101132043431999) and next prime (101132043432001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101132043432001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481887090 + ... + 482096910.

Almost surely, 2^{101132043432000} is an apocalyptic number.

101132043432000 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 101132043432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202196162088960).

101132043432000 is an abundant number, since it is smaller than the sum of its proper divisors (303260280745920).

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

101132043432000 is a wasteful number, since it uses less digits than its factorization.

101132043432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210028 (or 210008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101132043432000 its reverse (234340231101), we get a palindrome (101366383663101).

The spelling of 101132043432000 in words is "one hundred one trillion, one hundred thirty-two billion, forty-three million, four hundred thirty-two thousand".