10212022020200 has 1152 divisors, whose sum is σ = 33743265292800. Its totient is φ = 2808023961600.

The previous prime is 10212022020199. The next prime is 10212022020247. The reversal of 10212022020200 is 202022021201.

10212022020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 8559950804 + ... + 8559951996.

It is an arithmetic number, because the mean of its divisors is an integer number (29291028900).

Almost surely, 2^{10212022020200} is an apocalyptic number.

10212022020200 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 10212022020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16871632646400).

10212022020200 is an abundant number, since it is smaller than the sum of its proper divisors (23531243272600).

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

10212022020200 is a wasteful number, since it uses less digits than its factorization.

10212022020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1254 counting only the distinct ones).

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

Adding to 10212022020200 its reverse (202022021201), we get a palindrome (10414044041401).

The spelling of 10212022020200 in words is "ten trillion, two hundred twelve billion, twenty-two million, twenty thousand, two hundred".