10221300010200 has 192 divisors, whose sum is σ = 32743941753600. Its totient is φ = 2635932096000.

The previous prime is 10221300010091. The next prime is 10221300010213. The reversal of 10221300010200 is 201000312201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644541 + ... + 4567059.

It is an arithmetic number, because the mean of its divisors is an integer number (170541363300).

Almost surely, 2^{10221300010200} is an apocalyptic number.

10221300010200 is a gapful number since it is divisible by the number (10) 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 10221300010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16371970876800).

10221300010200 is an abundant number, since it is smaller than the sum of its proper divisors (22522641743400).

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

10221300010200 is a wasteful number, since it uses less digits than its factorization.

10221300010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922682 (or 3922673 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10221300010200 its reverse (201000312201), we get a palindrome (10422300322401).

The spelling of 10221300010200 in words is "ten trillion, two hundred twenty-one billion, three hundred million, ten thousand, two hundred".