11102122221120 has 1008 divisors, whose sum is σ = 44770816516608. Its totient is φ = 2517748531200.

The previous prime is 11102122221107. The next prime is 11102122221137. The reversal of 11102122221120 is 2112222120111.

11102122221120 is a `hidden beast` number, since 1 + 110 + 212 + 2 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11102122221093 and 11102122221102.

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 143 ways as a sum of consecutive naturals, for example, 18472748820 + ... + 18472749420.

It is an arithmetic number, because the mean of its divisors is an integer number (44415492576).

Almost surely, 2^{11102122221120} is an apocalyptic number.

11102122221120 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 11102122221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385408258304).

11102122221120 is an abundant number, since it is smaller than the sum of its proper divisors (33668694295488).

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

11102122221120 is a wasteful number, since it uses less digits than its factorization.

11102122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102122221120 its reverse (2112222120111), we get a palindrome (13214344341231).

The spelling of 11102122221120 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".