10220220100200 has 192 divisors, whose sum is σ = 34565883624000. Its totient is φ = 2477417113600.

The previous prime is 10220220100199. The next prime is 10220220100217. The reversal of 10220220100200 is 200102202201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85430026 + ... + 85549574.

It is an arithmetic number, because the mean of its divisors is an integer number (180030643875).

Almost surely, 2^{10220220100200} is an apocalyptic number.

10220220100200 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 10220220100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282941812000).

10220220100200 is an abundant number, since it is smaller than the sum of its proper divisors (24345663523800).

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

10220220100200 is a wasteful number, since it uses less digits than its factorization.

10220220100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132532 (or 132523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10220220100200 its reverse (200102202201), we get a palindrome (10420322302401).

The spelling of 10220220100200 in words is "ten trillion, two hundred twenty billion, two hundred twenty million, one hundred thousand, two hundred".