212121102000 has 160 divisors (see below), whose sum is σ = 684121374144. Its totient is φ = 56545536000.

The previous prime is 212121101987. The next prime is 212121102001. The reversal of 212121102000 is 201121212.

It is a super-3 number, since 3×212121102000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212121102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25561852 + ... + 25570148.

Almost surely, 2^212121102000 is an apocalyptic number.

212121102000 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 212121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342060687072).

212121102000 is an abundant number, since it is smaller than the sum of its proper divisors (472000272144).

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

212121102000 is a wasteful number, since it uses less digits than its factorization.

212121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212121102000 its reverse (201121212), we get a palindrome (212322223212).

The spelling of 212121102000 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred two thousand".