100030041322120 has 256 divisors, whose sum is σ = 287763291648000. Its totient is φ = 30441494753280.

The previous prime is 100030041322117. The next prime is 100030041322129. The reversal of 100030041322120 is 21223140030001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100030041322129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14892706 + ... + 20539054.

It is an arithmetic number, because the mean of its divisors is an integer number (1124075358000).

Almost surely, 2^{100030041322120} is an apocalyptic number.

100030041322120 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 100030041322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143881645824000).

100030041322120 is an abundant number, since it is smaller than the sum of its proper divisors (187733250325880).

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

100030041322120 is a wasteful number, since it uses less digits than its factorization.

100030041322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646568 (or 5646564 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100030041322120 its reverse (21223140030001), we get a palindrome (121253181352121).

The spelling of 100030041322120 in words is "one hundred trillion, thirty billion, forty-one million, three hundred twenty-two thousand, one hundred twenty".