10222021020200 has 192 divisors, whose sum is σ = 26217089856000. Its totient is φ = 3675704313600.

The previous prime is 10222021020181. The next prime is 10222021020203. The reversal of 10222021020200 is 202012022201.

It is not an unprimeable number, because it can be changed into a prime (10222021020203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71289779 + ... + 71433021.

It is an arithmetic number, because the mean of its divisors is an integer number (136547343000).

Almost surely, 2^{10222021020200} is an apocalyptic number.

10222021020200 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 10222021020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108544928000).

10222021020200 is an abundant number, since it is smaller than the sum of its proper divisors (15995068835800).

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

10222021020200 is a wasteful number, since it uses less digits than its factorization.

10222021020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143632 (or 143623 counting only the distinct ones).

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

Adding to 10222021020200 its reverse (202012022201), we get a palindrome (10424033042401).

It can be divided in two parts, 1022202 and 1020200, that added together give a palindrome (2042402).

The spelling of 10222021020200 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, twenty thousand, two hundred".