21210102221000 has 288 divisors, whose sum is σ = 63460543419000. Its totient is φ = 6610939104000.

The previous prime is 21210102220961. The next prime is 21210102221017. The reversal of 21210102221000 is 12220101212.

It can be written as a sum of positive squares in 4 ways, for example, as 4702279488676 + 16507822732324 = 2168474^2 + 4062982^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4140326 + ... + 7717674.

Almost surely, 2^{21210102221000} is an apocalyptic number.

21210102221000 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 21210102221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31730271709500).

21210102221000 is an abundant number, since it is smaller than the sum of its proper divisors (42250441198000).

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

21210102221000 is a wasteful number, since it uses less digits than its factorization.

21210102221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577406 (or 3577374 counting only the distinct ones).

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

Adding to 21210102221000 its reverse (12220101212), we get a palindrome (21222322322212).

The spelling of 21210102221000 in words is "twenty-one trillion, two hundred ten billion, one hundred two million, two hundred twenty-one thousand".