100210212210220 has 96 divisors (see below), whose sum is σ = 243495520934400. Its totient is φ = 33930817250304.

The previous prime is 100210212210203. The next prime is 100210212210257. The reversal of 100210212210220 is 22012212012001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100210212210194 and 100210212210203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28663851 + ... + 31969309.

It is an arithmetic number, because the mean of its divisors is an integer number (2536411676400).

Almost surely, 2^{100210212210220} is an apocalyptic number.

100210212210220 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 100210212210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121747760467200).

100210212210220 is an abundant number, since it is smaller than the sum of its proper divisors (143285308724180).

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

100210212210220 is a wasteful number, since it uses less digits than its factorization.

100210212210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308167 (or 3308165 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100210212210220 its reverse (22012212012001), we get a palindrome (122222424222221).

The spelling of 100210212210220 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, two hundred ten thousand, two hundred twenty".