11102221221210 has 288 divisors, whose sum is σ = 33689739283200. Its totient is φ = 2529259084800.

The previous prime is 11102221221209. The next prime is 11102221221211. The reversal of 11102221221210 is 1212212220111.

11102221221210 is a `hidden beast` number, since 1 + 1 + 10 + 2 + 221 + 221 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (11102221221209) and next prime (11102221221211).

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

It is not an unprimeable number, because it can be changed into a prime (11102221221211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3605786451 + ... + 3605789529.

It is an arithmetic number, because the mean of its divisors is an integer number (116978261400).

Almost surely, 2^{11102221221210} is an apocalyptic number.

11102221221210 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 11102221221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844869641600).

11102221221210 is an abundant number, since it is smaller than the sum of its proper divisors (22587518061990).

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

11102221221210 is a wasteful number, since it uses less digits than its factorization.

11102221221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546 (or 5536 counting only the distinct ones).

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

Adding to 11102221221210 its reverse (1212212220111), we get a palindrome (12314433441321).

The spelling of 11102221221210 in words is "eleven trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred ten".