11021001221112 has 256 divisors, whose sum is σ = 29925968486400. Its totient is φ = 3370798955520.

The previous prime is 11021001221089. The next prime is 11021001221137. The reversal of 11021001221112 is 21112210012011.

It is a happy number.

It is a super-2 number, since 2×11021001221112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11021001221091 and 11021001221100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3983013153 + ... + 3983015919.

It is an arithmetic number, because the mean of its divisors is an integer number (116898314400).

Almost surely, 2^{11021001221112} is an apocalyptic number.

11021001221112 is a gapful number since it is divisible by the number (12) 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 11021001221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962984243200).

11021001221112 is an abundant number, since it is smaller than the sum of its proper divisors (18904967265288).

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

11021001221112 is a wasteful number, since it uses less digits than its factorization.

11021001221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11021001221112 its reverse (21112210012011), we get a palindrome (32133211233123).

The spelling of 11021001221112 in words is "eleven trillion, twenty-one billion, one million, two hundred twenty-one thousand, one hundred twelve".