100200110220210 has 1024 divisors, whose sum is σ = 355083363532800. Its totient is φ = 17405466624000.

The previous prime is 100200110220131. The next prime is 100200110220247. The reversal of 100200110220210 is 12022011002001.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1671169552 + ... + 1671229508.

It is an arithmetic number, because the mean of its divisors is an integer number (346761097200).

Almost surely, 2^{100200110220210} is an apocalyptic number.

100200110220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200110220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177541681766400).

100200110220210 is an abundant number, since it is smaller than the sum of its proper divisors (254883253312590).

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

100200110220210 is a wasteful number, since it uses less digits than its factorization.

100200110220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60147.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200110220210 its reverse (12022011002001), we get a palindrome (112222121222211).

It can be divided in two parts, 1002001 and 10220210, that added together give a palindrome (11222211).

The spelling of 100200110220210 in words is "one hundred trillion, two hundred billion, one hundred ten million, two hundred twenty thousand, two hundred ten".