4115522100100 has 216 divisors, whose sum is σ = 9575868355200. Its totient is φ = 1534895738880.

The previous prime is 4115522100089. The next prime is 4115522100121. The reversal of 4115522100100 is 10012255114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2941759201 + ... + 2941760599.

Almost surely, 2^{4115522100100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115522100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787934177600).

4115522100100 is an abundant number, since it is smaller than the sum of its proper divisors (5460346255100).

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

4115522100100 is a wasteful number, since it uses less digits than its factorization.

4115522100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 4115522100100 its reverse (10012255114), we get a palindrome (4125534355214).

The spelling of 4115522100100 in words is "four trillion, one hundred fifteen billion, five hundred twenty-two million, one hundred thousand, one hundred".