21120211221102 has 96 divisors (see below), whose sum is σ = 54622866391200. Its totient is φ = 6031427947776.

The previous prime is 21120211221101. The next prime is 21120211221103. The reversal of 21120211221102 is 20112211202112.

21120211221102 is a `hidden beast` number, since 211 + 20 + 211 + 221 + 1 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21120211221101) and next prime (21120211221103).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120211221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3545638 + ... + 7403510.

It is an arithmetic number, because the mean of its divisors is an integer number (568988191575).

Almost surely, 2^{21120211221102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120211221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27311433195600).

21120211221102 is an abundant number, since it is smaller than the sum of its proper divisors (33502655170098).

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

21120211221102 is a wasteful number, since it uses less digits than its factorization.

21120211221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859967 (or 3859954 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21120211221102 its reverse (20112211202112), we get a palindrome (41232422423214).

The spelling of 21120211221102 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred two".