11102022122000 has 160 divisors (see below), whose sum is σ = 28025667671040. Its totient is φ = 4245634905600.

The previous prime is 11102022121999. The next prime is 11102022122017. The reversal of 11102022122000 is 22122020111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94839506 + ... + 94956494.

It is an arithmetic number, because the mean of its divisors is an integer number (175160422944).

Almost surely, 2^{11102022122000} is an apocalyptic number.

11102022122000 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 11102022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012833835520).

11102022122000 is an abundant number, since it is smaller than the sum of its proper divisors (16923645549040).

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

11102022122000 is a wasteful number, since it uses less digits than its factorization.

11102022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119098 (or 119082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11102022122000 its reverse (22122020111), we get a palindrome (11124144142111).

The spelling of 11102022122000 in words is "eleven trillion, one hundred two billion, twenty-two million, one hundred twenty-two thousand".