11122102010000 has 200 divisors, whose sum is σ = 28374052396800. Its totient is φ = 4210367040000.

The previous prime is 11122102009999. The next prime is 11122102010003. The reversal of 11122102010000 is 1020122111.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (11122102010003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188260466 + ... + 188319534.

It is an arithmetic number, because the mean of its divisors is an integer number (141870261984).

Almost surely, 2^{11122102010000} is an apocalyptic number.

11122102010000 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 11122102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187026198400).

11122102010000 is an abundant number, since it is smaller than the sum of its proper divisors (17251950386800).

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

11122102010000 is an equidigital number, since it uses as much as digits as its factorization.

11122102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60107 (or 60086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122102010000 its reverse (1020122111), we get a palindrome (11123122132111).

The spelling of 11122102010000 in words is "eleven trillion, one hundred twenty-two billion, one hundred two million, ten thousand".