21102212102000 has 80 divisors (see below), whose sum is σ = 51026145180192. Its totient is φ = 8440720025600.

The previous prime is 21102212101981. The next prime is 21102212102017. The reversal of 21102212102000 is 20121220112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×21102212102000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190478624 + ... + 190589376.

Almost surely, 2^{21102212102000} is an apocalyptic number.

21102212102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102212102000 is an abundant number, since it is smaller than the sum of its proper divisors (29923933078192).

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

21102212102000 is a wasteful number, since it uses less digits than its factorization.

21102212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206043 (or 206027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21102212102000 its reverse (20121220112), we get a palindrome (21122333322112).

The spelling of 21102212102000 in words is "twenty-one trillion, one hundred two billion, two hundred twelve million, one hundred two thousand".