221221010212002 has 384 divisors, whose sum is σ = 543945906137088. Its totient is φ = 64632370176000.

The previous prime is 221221010211997. The next prime is 221221010212003. The reversal of 221221010212002 is 200212010122122.

It is a happy number.

221221010212002 is a `hidden beast` number, since 221 + 2 + 210 + 10 + 21 + 200 + 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 (221221010212003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39809428608 + ... + 39809434164.

It is an arithmetic number, because the mean of its divisors is an integer number (1416525797232).

Almost surely, 2^{221221010212002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221221010212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271972953068544).

221221010212002 is an abundant number, since it is smaller than the sum of its proper divisors (322724895925086).

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

221221010212002 is a wasteful number, since it uses less digits than its factorization.

221221010212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6871 counting only the distinct ones).

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

Adding to 221221010212002 its reverse (200212010122122), we get a palindrome (421433020334124).

The spelling of 221221010212002 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, ten million, two hundred twelve thousand, two".