21212120102000 has 160 divisors (see below), whose sum is σ = 51402161551104. Its totient is φ = 8466461952000.

The previous prime is 21212120101979. The next prime is 21212120102051. The reversal of 21212120102000 is 20102121212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330229449 + ... + 2330238551.

Almost surely, 2^{21212120102000} is an apocalyptic number.

21212120102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25701080775552).

21212120102000 is an abundant number, since it is smaller than the sum of its proper divisors (30190041449104).

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

21212120102000 is a wasteful number, since it uses less digits than its factorization.

21212120102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11508 counting only the distinct ones).

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

Adding to 21212120102000 its reverse (20102121212), we get a palindrome (21232222223212).

The spelling of 21212120102000 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty million, one hundred two thousand".