211221102004 has 96 divisors (see below), whose sum is σ = 420406640640. Its totient is φ = 91976841600.

The previous prime is 211221101999. The next prime is 211221102007. The reversal of 211221102004 is 400201122112.

211221102004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×211221102004⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122588287 + ... + 122590009.

It is an arithmetic number, because the mean of its divisors is an integer number (4379235840).

Almost surely, 2^211221102004 is an apocalyptic number.

It is an amenable number.

211221102004 is a deficient number, since it is larger than the sum of its proper divisors (209185538636).

211221102004 is a wasteful number, since it uses less digits than its factorization.

211221102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211221102004 its reverse (400201122112), we get a palindrome (611422224116).

The spelling of 211221102004 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred two thousand, four".