100043142120240 has 480 divisors, whose sum is σ = 348474556200960. Its totient is φ = 23714313553920.

The previous prime is 100043142120227. The next prime is 100043142120277. The reversal of 100043142120240 is 42021241340001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100043142120240.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1459022437 + ... + 1459091003.

It is an arithmetic number, because the mean of its divisors is an integer number (725988658752).

Almost surely, 2^{100043142120240} is an apocalyptic number.

100043142120240 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 100043142120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174237278100480).

100043142120240 is an abundant number, since it is smaller than the sum of its proper divisors (248431414080720).

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

100043142120240 is a wasteful number, since it uses less digits than its factorization.

100043142120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69721 (or 69704 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100043142120240 its reverse (42021241340001), we get a palindrome (142064383460241).

The spelling of 100043142120240 in words is "one hundred trillion, forty-three billion, one hundred forty-two million, one hundred twenty thousand, two hundred forty".