221002220211012 has 144 divisors (see below), whose sum is σ = 576670445223600. Its totient is φ = 71363263541760.

The previous prime is 221002220211011. The next prime is 221002220211041. The reversal of 221002220211012 is 210112022200122.

It is a happy number.

221002220211012 is a `hidden beast` number, since 221 + 0 + 0 + 2 + 220 + 211 + 0 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26562231668736 + 194439988542276 = 5153856^2 + 13944174^2 .

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 (221002220211011) 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 47 ways as a sum of consecutive naturals, for example, 417318712 + ... + 417847952.

Almost surely, 2^{221002220211012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002220211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288335222611800).

221002220211012 is an abundant number, since it is smaller than the sum of its proper divisors (355668225012588).

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

221002220211012 is a wasteful number, since it uses less digits than its factorization.

221002220211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529591 (or 529512 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002220211012 its reverse (210112022200122), we get a palindrome (431114242411134).

The spelling of 221002220211012 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, two hundred eleven thousand, twelve".