11032112221002 has 128 divisors (see below), whose sum is σ = 26021883225600. Its totient is φ = 3452531309568.

The previous prime is 11032112220991. The next prime is 11032112221003. The reversal of 11032112221002 is 20012221123011.

11032112221002 is a `hidden beast` number, since 1 + 10 + 321 + 122 + 210 + 0 + 2 = 666.

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 (11032112221003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1829838124 + ... + 1829844152.

It is an arithmetic number, because the mean of its divisors is an integer number (203295962700).

Almost surely, 2^{11032112221002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032112221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010941612800).

11032112221002 is an abundant number, since it is smaller than the sum of its proper divisors (14989771004598).

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

11032112221002 is a wasteful number, since it uses less digits than its factorization.

11032112221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11032112221002 its reverse (20012221123011), we get a palindrome (31044333344013).

The spelling of 11032112221002 in words is "eleven trillion, thirty-two billion, one hundred twelve million, two hundred twenty-one thousand, two".