11122103332410 has 256 divisors, whose sum is σ = 31671111352320. Its totient is φ = 2446890405120.

The previous prime is 11122103332393. The next prime is 11122103332421. The reversal of 11122103332410 is 1423330122111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2089440009 + ... + 2089445331.

It is an arithmetic number, because the mean of its divisors is an integer number (123715278720).

Almost surely, 2^{11122103332410} is an apocalyptic number.

11122103332410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122103332410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835555676160).

11122103332410 is an abundant number, since it is smaller than the sum of its proper divisors (20549008019910).

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

11122103332410 is a wasteful number, since it uses less digits than its factorization.

11122103332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11122103332410 its reverse (1423330122111), we get a palindrome (12545433454521).

The spelling of 11122103332410 in words is "eleven trillion, one hundred twenty-two billion, one hundred three million, three hundred thirty-two thousand, four hundred ten".