221012002102221 has 192 divisors, whose sum is σ = 389113926140160. Its totient is φ = 119137554432000.

The previous prime is 221012002102193. The next prime is 221012002102231. The reversal of 221012002102221 is 122201200210122.

It is a happy number.

221012002102221 is a `hidden beast` number, since 2 + 210 + 1 + 20 + 0 + 210 + 2 + 221 = 666.

It is not a de Polignac number, because 221012002102221 - 2⁷ = 221012002102093 is a prime.

It is a super-3 number, since 3×221012002102221³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221012002102194 and 221012002102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012002102231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57660316921 + ... + 57660320753.

It is an arithmetic number, because the mean of its divisors is an integer number (2026635031980).

Almost surely, 2^{221012002102221} is an apocalyptic number.

It is an amenable number.

221012002102221 is a deficient number, since it is larger than the sum of its proper divisors (168101924037939).

221012002102221 is a wasteful number, since it uses less digits than its factorization.

221012002102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7865 counting only the distinct ones).

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

Adding to 221012002102221 its reverse (122201200210122), we get a palindrome (343213202312343).

The spelling of 221012002102221 in words is "two hundred twenty-one trillion, twelve billion, two million, one hundred two thousand, two hundred twenty-one".