21102212211102 has 128 divisors (see below), whose sum is σ = 52926681139200. Its totient is φ = 6173432496000.

The previous prime is 21102212211089. The next prime is 21102212211187. The reversal of 21102212211102 is 20111221220112.

21102212211102 is a `hidden beast` number, since 2 + 110 + 221 + 221 + 110 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170492763 + ... + 170616489.

It is an arithmetic number, because the mean of its divisors is an integer number (413489696400).

Almost surely, 2^{21102212211102} is an apocalyptic number.

21102212211102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102212211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26463340569600).

21102212211102 is an abundant number, since it is smaller than the sum of its proper divisors (31824468928098).

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

21102212211102 is a wasteful number, since it uses less digits than its factorization.

21102212211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133679 (or 133673 counting only the distinct ones).

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

Adding to 21102212211102 its reverse (20111221220112), we get a palindrome (41213433431214).

The spelling of 21102212211102 in words is "twenty-one trillion, one hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred two".