101112433140000 has 240 divisors, whose sum is σ = 331698343328352. Its totient is φ = 26960930304000.

The previous prime is 101112433139989. The next prime is 101112433140001. The reversal of 101112433140000 is 41334211101.

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

It is not an unprimeable number, because it can be changed into a prime (101112433140001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 739311624 + ... + 739448376.

Almost surely, 2^{101112433140000} is an apocalyptic number.

101112433140000 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 101112433140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165849171664176).

101112433140000 is an abundant number, since it is smaller than the sum of its proper divisors (230585910188352).

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

101112433140000 is a wasteful number, since it uses less digits than its factorization.

101112433140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149109 (or 149086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101112433140000 its reverse (41334211101), we get a palindrome (101153767351101).

The spelling of 101112433140000 in words is "one hundred one trillion, one hundred twelve billion, four hundred thirty-three million, one hundred forty thousand".