100004034022240 has 192 divisors, whose sum is σ = 243205676195328. Its totient is φ = 38842771968000.

The previous prime is 100004034022237. The next prime is 100004034022261. The reversal of 100004034022240 is 42220430400001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7936191940 + ... + 7936204540.

It is an arithmetic number, because the mean of its divisors is an integer number (1266696230184).

Almost surely, 2^{100004034022240} is an apocalyptic number.

100004034022240 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 100004034022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121602838097664).

100004034022240 is an abundant number, since it is smaller than the sum of its proper divisors (143201642173088).

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

100004034022240 is a wasteful number, since it uses less digits than its factorization.

100004034022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23181 (or 23173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 100004034022240 its reverse (42220430400001), we get a palindrome (142224464422241).

The spelling of 100004034022240 in words is "one hundred trillion, four billion, thirty-four million, twenty-two thousand, two hundred forty".