21202202210000 has 400 divisors, whose sum is σ = 60342901390464. Its totient is φ = 7063289856000.

The previous prime is 21202202209999. The next prime is 21202202210003. The reversal of 21202202210000 is 1220220212.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202202210003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580911752 + ... + 580948248.

Almost surely, 2^{21202202210000} is an apocalyptic number.

21202202210000 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 21202202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171450695232).

21202202210000 is an abundant number, since it is smaller than the sum of its proper divisors (39140699180464).

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

21202202210000 is a wasteful number, since it uses less digits than its factorization.

21202202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36768 (or 36747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21202202210000 its reverse (1220220212), we get a palindrome (21203422430212).

The spelling of 21202202210000 in words is "twenty-one trillion, two hundred two billion, two hundred two million, two hundred ten thousand".